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quantum-gate [August 22, 2026 at 18:35] Ivan Janevskiquantum-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 gates]] 
- 7. [[quantum-gate-parametric|Parametric gates]] + 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
  
- - [[quantum-gate-single-qubit]] +- [[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]] +  [[quantum-gate-y|Pauli Y]] 
-     4. [[quantum-gate-h|Hadamard (H)]] +  [[quantum-gate-z|Pauli Z]] 
-     5. [[quantum-gate-s|S (Phase) gate]] +  [[quantum-gate-h|Hadamard (H)]] 
-     6. [[quantum-gate-t|T gate]] +  [[quantum-gate-s|S (Phase) gate]] 
-     7. [[quantum-gate-rx|RX (rotation around X)]] +  [[quantum-gate-t|T gate]] 
-     8. [[quantum-gate-ry|RY (rotation around Y)]] +  [[quantum-gate-rx|RX (rotation around X)]] 
-     9. [[quantum-gate-rz|RZ (rotation around Z)]] +  [[quantum-gate-ry|RY (rotation around Y)]] 
-     10. [[quantum-gate-u|Universal single-qubit (U)]] +  [[quantum-gate-rz|RZ (rotation around Z)]] 
- - [[quantum-gate-two-qubit]] +  [[quantum-gate-u|Universal single-qubit (U)]] 
-     11. [[quantum-gate-cnot|CNOT (CX)]] +- [[quantum-gate-two-qubit]] 
-     12. [[quantum-gate-cz|CZ (Controlled-Z)]] +  [[quantum-gate-cnot|CNOT (CX)]] 
-     13. [[quantum-gate-swap|SWAP]] +  [[quantum-gate-cz|CZ (Controlled-Z)]] 
-     14. [[quantum-gate-iswap|iSWAP]] +  [[quantum-gate-swap|SWAP]] 
-     15. [[quantum-gate-cphase|Controlled-Phase]] +  [[quantum-gate-iswap|iSWAP]] 
-     16. [[quantum-gate-xx|XX (parametric)]] +  [[quantum-gate-cphase|Controlled-Phase]] 
-     17. [[quantum-gate-yy|YY (parametric)]] +  [[quantum-gate-xx|XX (parametric)]] 
-     18. [[quantum-gate-zz|ZZ (parametric)]] +  [[quantum-gate-yy|YY (parametric)]] 
- - [[quantum-gate-multi-qubit]] +  [[quantum-gate-zz|ZZ (parametric)]] 
-     19. [[quantum-gate-toffoli|Toffoli (CCX)]] +- [[quantum-gate-three-qubit]] 
-     20. [[quantum-gate-fredkin|Fredkin (CSWAP)]]+  [[quantum-gate-toffoli|Toffoli (CCX)]] 
 +  [[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]]
  
quantum-gate.1787423708.md.gz · Last modified: by Ivan Janevski