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list-of-quantum-computing-concepts
Table of Contents
List of quantum computing concepts
List of quantum computing concepts
Quantum computing
Quantum State
Born rule
Probability amplitude
Global phase
Hilbert space
Dirac notation
$\mathbb{CP}^1$
Hopf fibration
Bloch sphere
Qubit
Canonical states
$\lvert 0 \rangle$ (Zero state)
$\lvert 1\rangle$ (One state)
$\lvert +\rangle$ (Plus state)
$\lvert -\rangle$ (Minus state)
$\lvert +i\rangle$ (Plus-i state)
$\lvert -i\rangle$ (Minus-i state)
Two qubits
$\lvert 00\rangle$
$\lvert 01\rangle$
$\lvert 10\rangle$
$\lvert 11\rangle$
Bell states
$\lvert\Phi^+\rangle$ (Phi-plus)
$\lvert\Phi^-\rangle$ (Phi-minus)
$\lvert\Psi^+\rangle$ (Psi-plus)
$\lvert\Psi^-\rangle$ (Psi-minus)
Three qubits
W state
GHZ state
Quantum register
Quantum Gate
Qubit gates
Pauli gates
I gate
X gate
Y gate
Z gate
Hadamard gate
Phase gates
P gate
S gate
T gate
Rotation gates
Rx gate
Ry gate
Rz gate
Unitary gate
Two-qubit gates
CX gate (CNOT)
CY gate
CZ gate
SWAP gate
iSWAP gate
Three-qubit gates
CCX (Toffoli) gate
Quantum algorithm
Deutsch
Deutsch-Jozsa
QPE
QFT
Grover
Shor's algorithm
Hidden subgroup problem
HHL algorithm
NISQ
QAOA
VQE
Quantum error correction
Pure state
Mixed state
Density matrix
von-Neumann equation
Lindblad equation
Kraus operator
List of quantum error correction codes
Quantum companies
Quantinuum
Atom Computing
PsiQuantum
QuEra Computing
Pasqal
Xanadu
IBM Quantum
Google Quantum AI
IonQ
D-Wave
Microsoft Quantum
Rigetti Computing
Quantum software
Qiskit
QuTiP
scqubits
CUDA-Q
cuQuantum
cuTensorNet
cuStateVec
cuDensityMat
Quantum hardware
Transmon qubits
Fluxonium qubits
NV center qubits
Neutral atom qubits
Trapped ion qubits
Photonic qubits
Topological qubits
Categorical quantum mechanics
Dagger compact category
ZX-calculus
ZW-calculus
ZH-calculus
list-of-quantum-computing-concepts.md
· Last modified:
August 22, 2026 at 15:34
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