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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
Q3: Symbolic Quantum Simulation
Q3 is a symbolic quantum simulation framework written in the
Wolfram Language
to help study
quantum information systems
,
quantum many-body systems
, and
quantum spin systems
. It provides various tools and utilities for symbolic calculations and numerical simulations on these representative quantum systems.
Quantum Information Systems »
Qubit
— Object representing quantum bits (qubits)
Ket
— Dirac's Ket notation for a quantum state
Bra
— Dirac's Bra notation for a quantum state in the dual space
Basis
— Constructs the standard basis
Matrix
— Converts to the matrix representation of an operator expression
ExpressionFor
— Convert a matrix or vector representation into an operator or state-vector expression.
QuantumCircuit
▪
CNOT
▪
SWAP
▪
Rotation
▪
Phase
▪
ControlledGate
Pauli
▪
Qudit
Quantum Many-Body Systems »
Boson
— Represents the Boson operators
Fermion
— Represents the Fermion operators
Heisenberg
— Represents the canonical operators
Majorana
— Represents the Majorana Fermion operators
FockHopping
▪
FockPairing
▪
FockSpin
▪
NormalOrder
Quantum Spin Systems »
Spin
— Represents a quantum spin (any angular momentum in general)
Rotation
— Rotation operator in the spin space.
EulerRotation
— Euler rotation in the spin space.
WignerAdd
— Addition of angular momenta
WignerAddZ
— Addition of angular momenta preserving only the z component
NineJSymbol
▪
WignerEckart
▪
WignerDistributionW
▪
WignerDistributionC
Foundation of Q3
Let
— Declares Species
Species
— An operator or tensor quantity
NonCommutative
— An operator or tensor quantity that is definitely non-commutative.
Multiply
— Q3 implementation of
NonCommutativeMultiply
.
MultiplyExp
— Exponential function of operators (or non-commutative
species
).
Basis
— Constructs the standard basis
Matrix
— Converts to the matrix representation of an operator expression
ExpressionFor
— Convert a matrix or vector representation into an operator or state-vector expression.
Garner
— Q3 implementation of
Collect
referring to
Multiply
(but not
Times
)
Dagger
— Hermitian conjugate.
Supplement
▪
SupplementBy
▪
Common
▪
CommonBy
▪
Choices
▪
Successive
TechNotes
▪
Quantum Information Systems with Q3
▪
Quantum Many-Body Systems with Q3
▪
Quantum Spin Systems with Q3
▪
Quick Start
RelatedGuides
▪
Quantum Information Systems
▪
Quantum Many-Body Systems
▪
Quantum Spin Systems
RelatedLinks
▪
Mahn-Soo Choi (2022)
, A Quantum Computation Workbook (Springer).
▪
About Q3
""

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