quantum-gate
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| quantum-gate [August 26, 2026 at 15:10] – external edit 127.0.0.1 | quantum-gate [August 26, 2026 at 18:02] (current) – Ivan Janevski | ||
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| ## Concepts | ## Concepts | ||
| - | - [[quantum-gate-matrices|Gate matrices and notation]] | + | |
| - | - [[quantum-gate-composition|Gate composition]] | + | 2. [[quantum-gate-composition|Gate composition]] |
| - | - [[quantum-gate-decomposition|Gate decomposition]] | + | 3. [[quantum-gate-decomposition|Gate decomposition]] |
| - | - [[quantum-gate-universal|Universal gate sets]] | + | 4. [[quantum-gate-universal|Universal gate sets]] |
| - | - [[quantum-gate-parametric|Parametric gates]] | + | 5. [[quantum-gate-parametric|Parametric gates]] |
| - | - [[quantum-gate-clifford|Clifford vs non-Clifford gates]] | + | 6. [[quantum-gate-clifford|Clifford vs non-Clifford gates]] |
| - | - [[quantum-gate-physical-implementation|Physical implementation]] | + | 7. [[quantum-gate-physical-implementation|Physical implementation]] |
| - | - [[quantum-gate-fidelity|Gate fidelity and errors]] | + | 8. [[quantum-gate-fidelity|Gate fidelity and errors]] |
| + | 9. [[quantum-gate-stabilizer-formalism|Stabilizer formalism and simulation]] | ||
| ## Gates | ## Gates | ||
| + | - [[quantum-gate-clifford]] | ||
| + | - [[quantum-gate-non-clifford]] | ||
| - [[quantum-gate-single-qubit]] | - [[quantum-gate-single-qubit]] | ||
| - | - [[quantum-gate-clifford]] | + | - [[quantum-gate-pauli]] |
| - | | + | - [[quantum-gate-i|Identity (I)]] |
| - | | + | - [[quantum-gate-x|Pauli X (NOT)]] |
| - | - [[quantum-gate-x|Pauli X (NOT)]] | + | - [[quantum-gate-y|Pauli Y]] |
| - | - [[quantum-gate-y|Pauli Y]] | + | - [[quantum-gate-z|Pauli Z (π phase)]] |
| - | - [[quantum-gate-z|Pauli Z]] | + | - [[quantum-gate-h|Hadamard (H)]] |
| - | - [[quantum-gate-h|Hadamard (H)]] | + | - [[quantum-gate-phase]] |
| - | - [[quantum-gate-s|S (Phase) gate]] | + | - [[quantum-gate-p|P (θ phase)]] |
| - | - [[quantum-gate-t|T gate]] | + | - [[quantum-gate-s|S (π/2 phase)]] |
| + | - [[quantum-gate-t|T (π/4 phase)]] | ||
| + | - [[quantum-gate-s-dagger|S† (inverse S gate)]] | ||
| + | | ||
| - [[quantum-gate-rotation]] | - [[quantum-gate-rotation]] | ||
| - | - [[quantum-gate-rx|RX (rotation around X)]] | + | - [[quantum-gate-rx|Rx (rotation around X)]] |
| - | - [[quantum-gate-ry|RY (rotation around Y)]] | + | - [[quantum-gate-ry|Ry (rotation around Y)]] |
| - | - [[quantum-gate-rz|RZ (rotation around Z)]] | + | - [[quantum-gate-rz|Rz (rotation around Z)]] |
| - | - [[quantum-gate-u|Universal | + | - [[quantum-gate-u|U (universal |
| - [[quantum-gate-two-qubit]] | - [[quantum-gate-two-qubit]] | ||
| - | - [[quantum-gate-cnot|CNOT (CX)]] | + | - [[quantum-gate-cx|CX (Controlled-NOT)]] |
| + | - [[quantum-gate-cy|CY (Controlled-Y)]] | ||
| - [[quantum-gate-cz|CZ (Controlled-Z)]] | - [[quantum-gate-cz|CZ (Controlled-Z)]] | ||
| - [[quantum-gate-swap|SWAP]] | - [[quantum-gate-swap|SWAP]] | ||
| - [[quantum-gate-iswap|iSWAP]] | - [[quantum-gate-iswap|iSWAP]] | ||
| - | - [[quantum-gate-cphase|Controlled-Phase]] | + | - [[quantum-gate-cp|CP (Controlled-Phase)]] |
| - | - [[quantum-gate-xx|XX (parametric)]] | + | - [[quantum-gate-xx|XX (Ising coupling)]] |
| - | - [[quantum-gate-yy|YY (parametric)]] | + | - [[quantum-gate-yy|YY (Ising coupling)]] |
| - | - [[quantum-gate-zz|ZZ (parametric)]] | + | - [[quantum-gate-zz|ZZ (Ising coupling)]] |
| - [[quantum-gate-three-qubit]] | - [[quantum-gate-three-qubit]] | ||
| - | - [[quantum-gate-toffoli|Toffoli (CCX)]] | + | - [[quantum-gate-ccx|CCX (Toffoli)]] |
| - | - [[quantum-gate-fredkin|Fredkin | + | - [[quantum-gate-ccy|CCY |
| + | - [[quantum-gate-ccz|CCZ (Controlled-Controlled-Z)]] | ||
| + | - [[quantum-gate-cswap|CSWAP (Fredkin)]] | ||
| + | - [[quantum-gate-ciswap|CiSWAP (Controlled-iSWAP)]] | ||
| + | - [[quantum-gate-ccp|CCP (Controlled-Controlled-Phase)]] | ||
| + | - [[quantum-gate-ccrx|CCRx (Controlled-Controlled-RX)]] | ||
| + | - [[quantum-gate-ccry|CCRy (Controlled-Controlled-RY)]] | ||
| + | - [[quantum-gate-ccrz|CCRz (Controlled-Controlled-RZ)]] | ||
| - [[quantum-gate-multiqubit|Multi-qubit gates (n-qubit general)]] | - [[quantum-gate-multiqubit|Multi-qubit gates (n-qubit general)]] | ||
| - [[quantum-gate-permutation|Permutation gates]] | - [[quantum-gate-permutation|Permutation gates]] | ||
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