Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

Q3mini

Guides

  • Fermionic Quantum Computation
  • Q3: Symbolic Quantum Simulation
  • Quantum Information Systems
  • Quantum Many-Body Systems
  • Quantum Spin Systems

Tech Notes

  • About Q3
  • Q3: Quick Start
  • Quantum Fourier Transform
  • Quantum Information Systems with Q3
  • Quantum Many-Body Systems with Q3
  • Quantum Operations
  • Quantum Spin Systems with Q3
  • Quantum States
  • Quantum Teleportation
  • Quick Quantum Computing with Q3

Symbols

  • Basis
  • Boson
  • Bra
  • CNOT
  • ControlledGate
  • ExpressionFor
  • Fermion
  • Heisenberg
  • Ket
  • Let
  • Majorana
  • Matrix
  • Multiply
  • NambuGreen
  • NambuHermitian
  • NambuMatrix
  • NambuUnitary
  • Pauli
  • Phase
  • QuantumCircuit
  • Qubit
  • Qudit
  • RandomWickCircuitSimulate
  • Rotation
  • Species
  • Spin
  • SWAP
  • WickCircuit
  • WickEntanglementEntropy
  • WickEntropy
  • WickGreenFunction
  • WickJump
  • WickLindbladSolve
  • WickLogarithmicNegativity
  • WickMeasurement
  • WickMonitor
  • WickMutualInformation
  • WickNonunitary
  • WickSimulate
  • WickState
  • WickUnitary

Overviews

  • The Postulates of Quantum Mechanics
  • Quantum Algorithms
  • Quantum Computation: Models
  • Quantum Computation: Overview
  • Quantum Error-Correction Codes
  • Quantum Information Theory
  • Quantum Noise and Decoherence
QuantumMob`Q3mini`
Multiply
​
Multiply[a,b,…]
or
a**b**…
​ represents non-commutative multiplication of elements
a,b,…
.
​
Details and Options

Examples  
(4)
Basic Examples  
(2)
In[1]:=
Let[Qubit,S]
In[2]:=
S[1,2]**S[1,1]
Out[2]=
-
Z
S
1
In[3]:=
S[1,2]**S[2,3]
Out[3]=
Y
S
1
Z
S
2
​
In[1]:=
Let[Boson,a]
In[2]:=
a[1]**Dagger[a[1]]
Out[2]=
1+
†
a
1
a
1
In[3]:=
Let[Fermion,c]
In[4]:=
c**Dagger[c]
Out[4]=
1-
†
c
c
In[5]:=
%//InputForm
Out[5]//InputForm=
1 - Multiply[Dagger[c], c]
Scope  
(2)

SeeAlso
NonCommutativeMultiply
 
▪
Dot
 
▪
Flat
 
▪
OneIdentity
TechNotes
▪
Quantum Information Systems with Q3
▪
Quantum Many-Body Systems with Q3
▪
Quantum Spin Systems with Q3
▪
Q3: Quick Start
RelatedGuides
▪
Q3: Symbolic Quantum Simulation
▪
Quantum Information Systems
▪
Quantum Many-Body Systems
▪
Quantum Spin Systems
RelatedLinks
▪
Mahn-Soo Choi (2022)
, A Quantum Computation Workbook (Springer).
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com