Wolfram/QuantumFramework

(1.0.22) current version: 1.4.2 »

Perform analytic and numeric quantum computations

Contributed By: Wolfram Research, Quantum Computation Framework team

The Wolfram Quantum Framework brings a broad, coherent design for quantum computation, together with a host of leading-edge capabilities, and full integration into Mathematica and Wolfram Language. Starting from discrete quantum mechanics, the Framework provides a high-level symbolic representation of quantum bases, states, and operators. The Framework can perform measurements and is equipped with various well-known states and operators, such as Bell states and Pauli operators. Using such simulation capabilities as a foundation, one can use the Framework to model and simulate quantum circuits and algorithms.

All functions and objects in the Wolfram Quantum Framework work seamlessly with the 5,000+ built-in made available through Wolfram Language. The immediate availability of such functions allows one to study a full range of questions around quantum computation, and can serve as a helpful resource for teaching.

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["Wolfram/QuantumFramework"]

Details

This paclet works with version 13.0 and higher of the Wolfram Language.

Paclet Guide

Examples

Quantum Basis and Quantum State (19) 

In order to use QuantumBasis, one gives dimension information as arguments, which will be interpreted as the computational basis. Alternatively, an association can be given with the basis name as the key and the corresponding basis elements as the values.


Define a 2D quantum basis (computational):

In[1]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][2]
Out[1]=

Given a basis of dimension n, the basis elements will be indexed by the key with :

In[2]:=
Normal /@ %["ElementAssociation"]
Out[2]=

Use QuantumBasis[n,m] to define a basis for qudits of dimension (for which the overall dimension will be ). For example, define a 2–2–2 dimensional quantum basis (with three qubits):

In[3]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][2, 3]
Out[3]=
In[4]:=
%["Dimensions"]
Out[4]=

Use QuantumBasis[{n1,n2,,nm}] to define an -dimensional Hilbert space of qudits as a list. For example, define a 3×5 dimensional quantum basis (with two qudits):

In[5]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{3, 5}]
Out[5]=

A basis can also be defined as an association with the basis element names as keys and the corresponding vectors as values:

In[6]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][<|a -> {1, I}, b -> {2, -I}|>]
Out[6]=
In[7]:=
Normal /@ %["ElementAssociation"]
Out[7]=

There are many 'named' bases built into the quantum framework, including "Computational", "PauliX", "PauliY", "PauliZ", "Fourier", "Identity", "Schwinger", "Pauli", "Dirac" and "Wigner" bases:

In[8]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/cf626dbe-b9ce-4334-aec3-8a1a390e9c33"]
Out[8]=

After a basis object has been defined, it is straightforward to construct quantum states and operators. A quantum state is represented by a QuantumState object and a quantum operator is represented by QuantumOperator.

A pure quantum state is represented as a vector for which the elements are amplitudes. The corresponding basis should be given in this format: QuantumState[arg1,arg2], where arg1 specifies amplitudes or the density matrix, and arg2 specifies the basis. With no basis specified, the default basis will be the computational basis, the dimension of which depends on the amplitude vector given in arg1.

Note that we use the big endian convention, such that qubits are labelled left-to-right, starting with one. For example, the decimal representation of (which means 3) is . Additionally, for the eigenvalues of Pauli-Z, we have:

In[9]:=
Eigensystem[PauliMatrix[3]]
Out[9]=

We shall denote the eigenstate {1,0} by (which corresponds to +1 eigenvalue), and {0,1} by (corresponding to the eigenvalue -1)


Define a pure 2-dimensional quantum state (qubit) in the Pauli-X basis:

In[10]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{1, -1 + I}, InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["PauliX"]]
Out[10]=
In[11]:=
%["Formula"]
Out[11]=

If the basis is not specified, the default is the computational basis of dimensions ( qubits):

In[12]:=
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{3, 2 I, 1, -5}]
Out[12]=
In[13]:=
state["Amplitudes"]
Out[13]=

If the vector has more than 2 elements, it is interpreted as an -qubit state, unless the dimension is specified. If fewer than amplitudes are specified, right-padding is applied to reach the 'ceiling':

In[14]:=
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{2, 0, I}]
Out[14]=
In[15]:=
state["Amplitudes"]
Out[15]=

Here is the same amplitude vector, but this time with the dimension specified:

In[16]:=
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{2, 0, I}, 3];
state["Amplitudes"]
Out[17]=

Binary strings can be also used as inputs:

In[18]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["001"]
Out[18]=

Many 'named' states are available through the framework:

In[19]:=
{InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{"UniformSuperposition", 4}], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
  "PsiPlus"], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["GHZ"]}
Out[19]=

Using associations, one can create a superposition of states, where the keys are lists of corresponding indexes and the values are amplitudes.

Create a superposition of 3 qubits (i.e., QuantumBasis[2,3]) as :

In[20]:=
\[Psi] = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][<|{0, 0, 0} -> 1/
    Sqrt[2], {1, 1, 1} -> 1/Sqrt[2]|>, 2, 3]
Out[20]=
In[21]:=
\[Psi]["Formula"]
Out[21]=
In[22]:=
\[Psi]["Dimensions"]
Out[22]=

A superposition can also be created by simply adding two quantum state objects. For example, the previous state can also be constructed as follows:

In[23]:=
\[Psi]2 = (InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
      "000"] + InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["111"])/Sqrt[
   2];
\[Psi] == \[Psi]2
Out[24]=

With a built-in basis specified, amplitudes correspond to the basis elements. For example, use the Bell basis:

In[25]:=
Normal /@ InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Bell"][
  "ElementAssociation"]
Out[25]=
In[26]:=
\[Psi] = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{2, -I, 1, 3}, InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Bell"]]
Out[26]=
In[27]:=
\[Psi]["Amplitudes"]
Out[27]=

A state can also be defined by inputting a density matrix:

In[28]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
 1/2 (IdentityMatrix[2] + PauliMatrix[2])]
Out[28]=

For pure states, one can get the corresponding normalized state vector:

In[29]:=
%["Formula"]
Out[29]=

Define a generic Bloch vector:

In[30]:=
mat[r_] /; VectorQ[r] := 1/2 (IdentityMatrix[2] + r . Table[PauliMatrix[i], {i, 3}])
In[31]:=
r = {.1, .1, 0};
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][mat[r]]
Out[27]=

Test to see if it is a mixed state:

In[32]:=
state["MixedStateQ"]
Out[32]=

Calculate its Von Neumann entropy:

In[33]:=
state["VonNeumannEntropy"]
Out[33]=

Compute its purity:

In[34]:=
state["Purity"]
Out[34]=

Note that one can directly use a Bloch vector as an input:

In[35]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{"BlochVector", r}]
Out[35]=
In[36]:=
% == state
Out[36]=

Test to see if a matrix is positive semidefinite:

In[37]:=
mat[{1, 2, 0}] // PositiveSemidefiniteMatrixQ
Out[37]=

A matrix that is not positive semidefinite cannot be a density matrix in standard quantum mechanics (with some exceptional cases, such as ZX formalism). Here is the result when we attempt to define a state using such a matrix:

In[38]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][mat[{1, 2, 0}]]
Out[38]=

When a matrix is given as input, but no basis is given, the default basis will be computational:

In[39]:=
m = RandomComplex[{-1 - I, 1 + I}, {8, 8}];
\[Rho] = ConjugateTranspose[m] . m;
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][\[Rho]]
Out[27]=
In[40]:=
state["Dimensions"]
Out[40]=

Using , define a quantum state in a 2–4 dimensional basis (and note the number of qudits):

In[41]:=
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][\[Rho], {2, 4}]
Out[41]=
In[42]:=
state["Dimensions"]
Out[42]=

Define a quantum state in 8D Hilbert space (with one 8-dimensional qudit only):

In[43]:=
state = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][\[Rho], 8]
Out[43]=
In[44]:=
state["Dimensions"]
Out[44]=

One can also define a state in a given basis, and then transform it into a new basis. For example, transform , the computational basis, into the Pauli-X basis {,}:

In[45]:=
\[Psi]1 = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{1, 0}];
\[Psi]2 = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][\[Psi]1, "PauliX"]
Out[38]=

Return the amplitudes:

In[46]:=
\[Psi]1["Formula"]
Out[46]=
In[47]:=
\[Psi]2["Formula"]
Out[47]=

Note that the states are the same, but defined in different bases:

In[48]:=
\[Psi]1 == \[Psi]2
Out[48]=

One can use QuantumTensorProduct to construct different states or operators. Create a tensor product of a + state with three qubits :

In[49]:=
\[Psi]1 = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumTensorProduct", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumTensorProduct\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumTensorProduct"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumTensorProduct"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
    "Plus"], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
    "Plus"], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Plus"]];
\[Psi]1["Formula"]
Out[38]=

Another way of defining is to first define a basis and then assign amplitudes:

In[50]:=
plusbasis = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumTensorProduct", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumTensorProduct\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumTensorProduct"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumTensorProduct"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
    "PauliX"], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
    "PauliX"], InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumBasis", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumBasis\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumBasis"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["PauliX"]];
In[51]:=
\[Psi]2 = InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{0, 0, 0, 0, 0, 0, 0, 1}, plusbasis];
\[Psi]2["Formula"]
Out[48]=
In[52]:=
\[Psi]2 == \[Psi]1
Out[52]=

Quantum Operators (10) 

Quantum operators can be defined by a matrix or by specifying eigenvalues with respect to a QuantumBasis. Additionally, there are many built-in named operators that can be used.


Define a Pauli-X operator:

In[53]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["PauliX"]
Out[53]=

Apply a Pauli-X operator to a symbolic state :

In[54]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
  "PauliX"][InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{\[Alpha], \[Beta]}]]
Out[54]=

Test to see if the application of the Pauli-X operator yields the correct state:

In[55]:=
% == InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{\[Beta], \[Alpha]}]
Out[55]=

Apply the Hadamard operator :

In[56]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
  "Hadamard"]@InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][{1, 0}]
Out[56]=

Test to see if the application of the Hadamard operator yields the correct state:

In[57]:=
% == InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumState", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumState\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumState"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumState"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Plus"]
Out[57]=

One can also compose operators. Here's a composition of two Hadamard operators and one Pauli-Z operator:

In[58]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
  "Hadamard"]@InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
   "PauliZ"]@InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.015384615384615385`], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[19.29685914516449`, 56.875006675720215`], List[32.49997329711914`, 64.49218791723251`], List[45.70308744907379`, 56.875006675720215`], List[32.49997329711914`, 49.257825434207916`], List[19.29685914516449`, 56.875006675720215`]], List[List[21.328107476234436`, 56.875006675720215`], List[32.49997329711914`, 63.32422015108166`], List[43.671839118003845`, 56.875006675720215`], List[32.49997329711914`, 50.42579283714326`], List[21.328107476234436`, 56.875006675720215`]], List[List[33.00778537988663`, 33.26174482703209`], List[33.00778537988663`, 48.496107310056686`], List[46.21089953184128`, 56.113288551568985`], List[46.21089953184128`, 40.87892606854439`], List[33.00778537988663`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.7019607843137254`, 0.6039215686274509`, 0.788235294117647`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 33.26174482703209`], List[18.789047062397003`, 40.87892606854439`], List[18.789047062397003`, 56.113288551568985`], List[31.992161214351654`, 48.496107310056686`], List[31.992161214351654`, 33.26174482703209`]]]]], List[FaceForm[RGBColor[0.5372549019607843`, 0.403921568627451`, 0.6745098039215687`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[17.77342289686203`, 8.886764854192734`], List[4.570308744907379`, 16.503946095705032`], List[4.570308744907379`, 31.73830857872963`], List[17.77342289686203`, 24.12112733721733`], List[17.77342289686203`, 8.886764854192734`]], List[List[16.757798731327057`, 10.664107143878937`], List[5.585932910442352`, 17.113319045306525`], List[5.585932910442352`, 29.960966289043427`], List[16.757798731327057`, 23.511754387615838`], List[16.757798731327057`, 10.664107143878937`]], List[List[31.484349131584167`, 32.50002670288086`], List[18.281234979629517`, 40.11720794439316`], List[5.078120827674866`, 32.50002670288086`], List[18.281234979629517`, 24.88284546136856`], List[31.484349131584167`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6352941176470588`, 0.7333333333333333`, 0.8313725490196079`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[31.992161214351654`, 31.73830857872963`], List[18.789047062397003`, 24.12112733721733`], List[18.789047062397003`, 8.886764854192734`], List[31.992161214351654`, 16.503946095705032`], List[31.992161214351654`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.2901960784313726`, 0.40784313725490196`, 0.5764705882352941`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[47.22652369737625`, 8.886764854192734`], List[47.22652369737625`, 24.12112733721733`], List[60.4296378493309`, 31.73830857872963`], List[60.4296378493309`, 16.503946095705032`], List[47.22652369737625`, 8.886764854192734`]], List[List[48.242147862911224`, 10.664107143878937`], List[48.242147862911224`, 23.511754387615838`], List[59.41401368379593`, 29.960966289043427`], List[59.41401368379593`, 17.113319045306525`], List[48.242147862911224`, 10.664107143878937`]], List[List[33.515597462654114`, 32.50002670288086`], List[46.718711614608765`, 40.11720794439316`], List[59.921825766563416`, 32.50002670288086`], List[46.718711614608765`, 24.88284546136856`], List[33.515597462654114`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.6`, 0.6`, 0.37254901960784315`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[33.00778537988663`, 31.73830857872963`], List[33.00778537988663`, 16.503946095705032`], List[46.21089953184128`, 8.886764854192734`], List[46.21089953184128`, 24.12112733721733`], List[33.00778537988663`, 31.73830857872963`]]]]], List[FaceForm[RGBColor[0.396078431372549`, 0.6039215686274509`, 0.30196078431372547`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]]], List[List[List[5.585932910442352`, 35.03908711671829`], List[5.585932910442352`, 47.88673242330583`], List[16.757798731327057`, 54.33594626188278`], List[16.757798731327057`, 41.488300955295244`], List[5.585932910442352`, 35.03908711671829`]], List[List[4.570308744907379`, 33.26174482703209`], List[4.570308744907379`, 48.496107310056686`], List[17.77342289686203`, 56.113288551568985`], List[17.77342289686203`, 40.87892606854439`], List[4.570308744907379`, 33.26174482703209`]], List[List[60.4296378493309`, 33.26174482703209`], List[47.22652369737625`, 40.87892606854439`], List[47.22652369737625`, 56.113288551568985`], List[60.4296378493309`, 48.496107310056686`], List[60.4296378493309`, 33.26174482703209`]], List[List[59.41401368379593`, 35.03908711671829`], List[48.242147862911224`, 41.488300955295244`], List[48.242147862911224`, 54.33594626188278`], List[59.41401368379593`, 47.88673242330583`], List[59.41401368379593`, 35.03908711671829`]], List[List[19.29685914516449`, 8.125046730041504`], List[32.49997329711914`, 15.742227971553802`], List[45.70308744907379`, 8.125046730041504`], List[32.49997329711914`, 0.5078654885292053`], List[19.29685914516449`, 8.125046730041504`]], List[List[21.328107476234436`, 8.125046730041504`], List[32.49997329711914`, 14.574258631469093`], List[43.671839118003845`, 8.125046730041504`], List[32.49997329711914`, 1.6758348286139153`], List[21.328107476234436`, 8.125046730041504`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[7.109369158744812`, 32.50002670288086`], List[7.109369158744812`, 31.097747524374427`], List[5.972591313425198`, 29.960966289043427`], List[4.570308744907379`, 29.960966289043427`], List[3.168024481383867`, 29.960966289043427`], List[2.0312483310699463`, 31.097747524374427`], List[2.0312483310699463`, 32.50002670288086`], List[2.0312483310699463`, 33.90230975568602`], List[3.168024481383867`, 35.03908711671829`], List[4.570308744907379`, 35.03908711671829`], List[5.972591313425198`, 35.03908711671829`], List[7.109369158744812`, 33.90230975568602`], List[7.109369158744812`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 56.36719459295273`], List[20.82029539346695`, 54.96491250872225`], List[19.683518032434677`, 53.828134179115295`], List[18.281234979629517`, 53.828134179115295`], List[16.878951926824357`, 53.828134179115295`], List[15.742174565792084`, 54.96491250872225`], List[15.742174565792084`, 56.36719459295273`], List[15.742174565792084`, 57.76947716147055`], List[16.878951926824357`, 58.90625500679016`], List[18.281234979629517`, 58.90625500679016`], List[19.683518032434677`, 58.90625500679016`], List[20.82029539346695`, 57.76947716147055`], List[20.82029539346695`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 40.625020027160645`], List[20.82029539346695`, 39.222736974355485`], List[19.683518032434677`, 38.08595961332321`], List[18.281234979629517`, 38.08595961332321`], List[16.878951926824357`, 38.08595961332321`], List[15.742174565792084`, 39.222736974355485`], List[15.742174565792084`, 40.625020027160645`], List[15.742174565792084`, 42.027303079965804`], List[16.878951926824357`, 43.16408044099808`], List[18.281234979629517`, 43.16408044099808`], List[19.683518032434677`, 43.16408044099808`], List[20.82029539346695`, 42.027303079965804`], List[20.82029539346695`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 24.375033378601074`], List[20.82029539346695`, 22.97275420009464`], List[19.683518032434677`, 21.83597296476364`], List[18.281234979629517`, 21.83597296476364`], List[16.878951926824357`, 21.83597296476364`], List[15.742174565792084`, 22.97275420009464`], List[15.742174565792084`, 24.375033378601074`], List[15.742174565792084`, 25.777316431406234`], List[16.878951926824357`, 26.914093792438507`], List[18.281234979629517`, 26.914093792438507`], List[19.683518032434677`, 26.914093792438507`], List[20.82029539346695`, 25.777316431406234`], List[20.82029539346695`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[20.82029539346695`, 8.63285881280899`], List[20.82029539346695`, 7.230591257198739`], List[19.683518032434677`, 6.093798398971558`], List[18.281234979629517`, 6.093798398971558`], List[16.878951926824357`, 6.093798398971558`], List[15.742174565792084`, 7.230591257198739`], List[15.742174565792084`, 8.63285881280899`], List[15.742174565792084`, 10.035130242717969`], List[16.878951926824357`, 11.171919226646423`], List[18.281234979629517`, 11.171919226646423`], List[19.683518032434677`, 11.171919226646423`], List[20.82029539346695`, 10.035130242717969`], List[20.82029539346695`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 48.75001335144043`], List[35.03903371095657`, 47.34773029863527`], List[33.90225247562557`, 46.210952937603`], List[32.49997329711914`, 46.210952937603`], List[31.09769024431398`, 46.210952937603`], List[29.960912883281708`, 47.34773029863527`], List[29.960912883281708`, 48.75001335144043`], List[29.960912883281708`, 50.15229543567091`], List[31.09769024431398`, 51.28907376527786`], List[32.49997329711914`, 51.28907376527786`], List[33.90225247562557`, 51.28907376527786`], List[35.03903371095657`, 50.15229543567091`], List[35.03903371095657`, 48.75001335144043`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 32.50002670288086`], List[35.03903371095657`, 31.097747524374427`], List[33.90225247562557`, 29.960966289043427`], List[32.49997329711914`, 29.960966289043427`], List[31.09769024431398`, 29.960966289043427`], List[29.960912883281708`, 31.097747524374427`], List[29.960912883281708`, 32.50002670288086`], List[29.960912883281708`, 33.90230975568602`], List[31.09769024431398`, 35.03908711671829`], List[32.49997329711914`, 35.03908711671829`], List[33.90225247562557`, 35.03908711671829`], List[35.03903371095657`, 33.90230975568602`], List[35.03903371095657`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[35.03903371095657`, 16.25004005432129`], List[35.03903371095657`, 14.847760875814856`], List[33.90225247562557`, 13.710979640483856`], List[32.49997329711914`, 13.710979640483856`], List[31.09769024431398`, 13.710979640483856`], List[29.960912883281708`, 14.847760875814856`], List[29.960912883281708`, 16.25004005432129`], List[29.960912883281708`, 17.65232310712645`], List[31.09769024431398`, 18.789100468158722`], List[32.49997329711914`, 18.789100468158722`], List[33.90225247562557`, 18.789100468158722`], List[35.03903371095657`, 17.65232310712645`], List[35.03903371095657`, 16.25004005432129`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 56.36719459295273`], List[49.2577720284462`, 54.96491250872225`], List[48.1209907931152`, 53.828134179115295`], List[46.718711614608765`, 53.828134179115295`], List[45.316428561803605`, 53.828134179115295`], List[44.17965120077133`, 54.96491250872225`], List[44.17965120077133`, 56.36719459295273`], List[44.17965120077133`, 57.76947716147055`], List[45.316428561803605`, 58.90625500679016`], List[46.718711614608765`, 58.90625500679016`], List[48.1209907931152`, 58.90625500679016`], List[49.2577720284462`, 57.76947716147055`], List[49.2577720284462`, 56.36719459295273`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 40.625020027160645`], List[49.2577720284462`, 39.222736974355485`], List[48.1209907931152`, 38.08595961332321`], List[46.718711614608765`, 38.08595961332321`], List[45.316428561803605`, 38.08595961332321`], List[44.17965120077133`, 39.222736974355485`], List[44.17965120077133`, 40.625020027160645`], List[44.17965120077133`, 42.027303079965804`], List[45.316428561803605`, 43.16408044099808`], List[46.718711614608765`, 43.16408044099808`], List[48.1209907931152`, 43.16408044099808`], List[49.2577720284462`, 42.027303079965804`], List[49.2577720284462`, 40.625020027160645`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 24.375033378601074`], List[49.2577720284462`, 22.97275420009464`], List[48.1209907931152`, 21.83597296476364`], List[46.718711614608765`, 21.83597296476364`], List[45.316428561803605`, 21.83597296476364`], List[44.17965120077133`, 22.97275420009464`], List[44.17965120077133`, 24.375033378601074`], List[44.17965120077133`, 25.777316431406234`], List[45.316428561803605`, 26.914093792438507`], List[46.718711614608765`, 26.914093792438507`], List[48.1209907931152`, 26.914093792438507`], List[49.2577720284462`, 25.777316431406234`], List[49.2577720284462`, 24.375033378601074`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[49.2577720284462`, 8.63285881280899`], List[49.2577720284462`, 7.230591257198739`], List[48.1209907931152`, 6.093798398971558`], List[46.718711614608765`, 6.093798398971558`], List[45.316428561803605`, 6.093798398971558`], List[44.17965120077133`, 7.230591257198739`], List[44.17965120077133`, 8.63285881280899`], List[44.17965120077133`, 10.035130242717969`], List[45.316428561803605`, 11.171919226646423`], List[46.718711614608765`, 11.171919226646423`], List[48.1209907931152`, 11.171919226646423`], List[49.2577720284462`, 10.035130242717969`], List[49.2577720284462`, 8.63285881280899`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]], StyleBox[List[FilledCurveBox[List[List[List[1, 4, 3], List[1, 3, 3], List[1, 3, 3], List[1, 3, 3]]], List[List[List[62.968698263168335`, 32.50002670288086`], List[62.968698263168335`, 31.097747524374427`], List[61.83190540494115`, 29.960966289043427`], List[60.4296378493309`, 29.960966289043427`], List[59.027366419421924`, 29.960966289043427`], List[57.89057743549347`, 31.097747524374427`], List[57.89057743549347`, 32.50002670288086`], List[57.89057743549347`, 33.90230975568602`], List[59.027366419421924`, 35.03908711671829`], List[60.4296378493309`, 35.03908711671829`], List[61.83190540494115`, 35.03908711671829`], List[62.968698263168335`, 33.90230975568602`], List[62.968698263168335`, 32.50002670288086`]]]]], List[FaceForm[RGBColor[0.9607843137254902`, 0.5098039215686274`, 0.20784313725490197`, 1.`]]], Rule[StripOnInput, False]]], List[Rule[BaselinePosition, Scaled[0.15`]], Rule[ImageSize, 10], Rule[ImageSize, List[Automatic, 35]]]], StyleBox[RowBox[List["QuantumOperator", " "]], Rule[ShowAutoStyles, False], Rule[ShowStringCharacters, False], Rule[FontSize, Times[0.9`, Inherited]], Rule[FontColor, GrayLevel[0.1`]]]]], Rule[GridBoxSpacings, List[Rule["Columns", List[List[0.25`]]]]]], Rule[Alignment, List[Left, Baseline]], Rule[BaselinePosition, Baseline], Rule[FrameMargins, List[List[3, 0], List[0, 0]]], Rule[BaseStyle, List[Rule[LineSpacing, List[0, 0]], Rule[LineBreakWithin, False]]]], RowBox[List["PacletSymbol", "[", RowBox[List["\"Wolfram/QuantumFramework\"", ",", "\"QuantumOperator\""]], "]"]], Rule[TooltipStyle, List[Rule[ShowAutoStyles, True], Rule[ShowStringCharacters, True]]]], Function[Annotation[Slot[1], Style[Defer[PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"]], Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["Wolfram/QuantumFramework", "QuantumOperator"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Hadamard"]
Out[58]=

Check the relation :

In[59]:=