quantum-gate
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| quantum-gate [August 22, 2026 at 18:30] – created - external edit 127.0.0.1 | quantum-gate [August 22, 2026 at 22:15] (current) – external edit 127.0.0.1 | ||
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| ## Concepts | ## Concepts | ||
| - | 1. [[quantum-gate-single-qubit|Single-qubit gates]] | + | 1. [[quantum-gate-matrices|Gate matrices and notation]] |
| - | 2. [[quantum-gate-two-qubit|Two-qubit gates]] | + | 2. [[quantum-gate-composition|Gate composition]] |
| - | 3. [[quantum-gate-multi-qubit|Multi-qubit gates]] | + | 3. [[quantum-gate-decomposition|Gate decomposition]] |
| - | 4. [[quantum-gate-matrices|Gate matrices and notation]] | + | 4. [[quantum-gate-universal|Universal gate sets]] |
| - | 5. [[quantum-gate-composition|Gate composition]] | + | 5. [[quantum-gate-parametric|Parametric gates]] |
| - | 6. [[quantum-gate-decomposition|Gate decomposition]] | + | 6. [[quantum-gate-clifford|Clifford vs non-Clifford |
| - | 7. [[quantum-gate-parametric|Parametric | + | 7. [[quantum-gate-physical-implementation|Physical implementation]] |
| - | 8. [[quantum-gate-universal|Universal gate sets]] | + | 8. [[quantum-gate-fidelity|Gate fidelity and errors]] |
| - | 9. [[quantum-gate-physical-implementation|Physical implementation]] | + | |
| - | 10. [[quantum-gate-fidelity|Gate fidelity and errors]] | + | |
| ## Gates | ## Gates | ||
| - | **Single-Qubit Gates:** | + | - [[quantum-gate-single-qubit]] |
| - | 1. [[quantum-gate-x|Pauli X (NOT)]] | + | - [[quantum-gate-i|Identity (I)]] |
| - | 2. [[quantum-gate-y|Pauli Y]] | + | - [[quantum-gate-x|Pauli X (NOT)]] |
| - | 3. [[quantum-gate-z|Pauli Z]] | + | |
| - | 4. [[quantum-gate-h|Hadamard (H)]] | + | |
| - | 5. [[quantum-gate-s|S (Phase) gate]] | + | |
| - | 6. [[quantum-gate-t|T gate]] | + | |
| - | 7. [[quantum-gate-rx|RX (rotation around X)]] | + | |
| - | 8. [[quantum-gate-ry|RY (rotation around Y)]] | + | |
| - | 9. [[quantum-gate-rz|RZ (rotation around Z)]] | + | |
| - | 10. [[quantum-gate-u|Universal single-qubit (U)]] | + | |
| - | + | | |
| - | **Two-Qubit Gates:** | + | - [[quantum-gate-two-qubit]] |
| - | 11. [[quantum-gate-cnot|CNOT (CX)]] | + | |
| - | 12. [[quantum-gate-cz|CZ (Controlled-Z)]] | + | |
| - | 13. [[quantum-gate-swap|SWAP]] | + | |
| - | 14. [[quantum-gate-iswap|iSWAP]] | + | |
| - | 15. [[quantum-gate-cphase|Controlled-Phase]] | + | |
| - | 16. [[quantum-gate-xx|XX (parametric)]] | + | |
| - | 17. [[quantum-gate-yy|YY (parametric)]] | + | |
| - | 18. [[quantum-gate-zz|ZZ (parametric)]] | + | |
| - | + | - [[quantum-gate-three-qubit]] | |
| - | **Multi-Qubit Gates:** | + | |
| - | 19. [[quantum-gate-toffoli|Toffoli (CCX)]] | + | |
| - | 20. [[quantum-gate-fredkin|Fredkin (CSWAP)]] | + | - [[quantum-gate-multiqubit|Multi-qubit gates (n-qubit general)]] |
| + | - [[quantum-gate-permutation|Permutation gates]] | ||
| + | - [[quantum-gate-grover-diffusion|Grover diffusion operator]] | ||
| + | - [[quantum-gate-qft|Quantum Fourier Transform]] | ||
| + | - [[quantum-gate-phase-oracle|Phase oracle gates]] | ||
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