Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`QuantumFramework`
QuantumCircuitMultiwayGraph [ ]  |
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Details and Options
Examples
(3)
Basic Examples
(3)
Multiway graph of Bell circuit:
In[1]:=
QuantumCircuitMultiwayGraph
["Bell"],VertexLabelsAutomatic
 | QuantumCircuitOperator |
Out[1]=
Using annotations on multiway graph, show corresponding operators of each edge:
In[2]:=
GraphQuantumCircuitMultiwayGraph
["Bell"],EdgeLabels__Placed[Style[op["Label"],Bold],Center],PerformanceGoal"Quality"
 | QuantumCircuitOperator |
KeyValuePattern["Operator"op_]
Out[2]=
Create a circuit as composition of magic circuit and Fourier:
In[1]:=
 | QuantumCircuitOperator |
Out[1]=
Create corresponding multiway graph, and label edges:
In[2]:=
QuantumCircuitMultiwayGraph
[{"Magic","Fourier"}],EdgeLabels__Placed[Style[op["Label"],Bold],Center]
| QuantumCircuitOperator |
KeyValuePattern["Operator"op_]
Out[2]=
As one can see, the gate CNOT is the one creating entanglement.
Create a graph of 4 vertexes and 5 edges:
In[1]:=
g=Graph[{12,13,14,23,24},VertexLabelsAutomatic]
Out[1]=
Create its corresponding graph circuit:
In[2]:=
| QuantumCircuitOperator |
Out[2]=
In[3]:=
gr=QuantumCircuitMultiwayGraph
["Graph"[g]],EdgeLabels__Placed[Style[Superscript[Replace[op["Label"],Head_[__]Head],op["InputOrder"]],Bold],Center]
| QuantumCircuitOperator |
KeyValuePattern["Operator"op_]
Out[3]=
Find the leaf nodes (vertices with no outgoing edges) in a spanning tree of a graph (not including the loops):
In[4]:=
Fold[TreeInsert[#1,Tree[#2〚2〛,{}],#2〚3,"TreePosition"〛]&,Tree[First[VertexList[gr]],{},TreeElementLabelFunction_(VertexIndex[gr,#]&)],EdgeList[gr]]
Out[4]=
which is a nested list, with lists within it describe the corresponding state of each branch, in above graph.
Show the final state of the circuit is the same as linear combination of that nested list of states: