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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
Quantum Many-Body Systems
Q3 provides various tools and utilities for symbolic and numerical calculations to simulate quantum many-body systems.
Q3 deals with the complex Weyl and Clifford algebras and their representations on the
Fock
space. The complex Weyl algebra, physically describing
Bosons
, is generated by the Heisenberg's canonical conjugate operators or by the Bosonic creator and annihilators. The complex Clifford algebra, physically describing
Fermions
, is generated by the Dirac
Fermion
creators and annihilators or by the
Majorana
Fermion operators.
Boson
— Boson operator
Fermion
— Fermion operator
Heisenberg
— Canonical operator in quantum mechanics
Majorana
— Majorana Fermion operator
CoherentState
— Bosonic and/or fermionic coherent state
Vacuum
 ▪
SurviveVacuum
 ▪
BosonQ
 ▪
FermionQ
 ▪
HeisenbergQ
 ▪
MajoranaQ
 ▪
ParticleQ
 ▪
FockOperatorQ
 ▪
Displacement
 ▪
FockSpinor
 ▪
FockAddSpin
 ▪
ToMajorana
 ▪
ToDirac
 ▪
ToBoson
 ▪
ToHeisenberg
TechNotes
▪
Quantum Information Systems with Q3
▪
Quantum Many-Body Systems with Q3
▪
Quantum Spin Systems with Q3
RelatedGuides
▪
Quantum Information Systems
▪
Quantum Spin Systems
▪
Q3: Symbolic Quantum Simulation
RelatedLinks
▪
Mahn-Soo Choi (2022)
, A Quantum Computation Workbook (Springer).
""

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