Table of Contents
List of elementary quantum computing concepts
List of elementary quantum computing concepts
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