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Quantum Gates

Notes on quantum logic gates and the circuit model of quantum computation

Gavin E. Crooks © 2020- gavincrooks@gmail.com

Version History

v0.12.0 (2026-02-21)

Extensive review of all chapters fixing 100+ spelling, grammar, and math errors. Notable math fixes include: power series signs, CPhase canonical coordinates, Swap-alpha exponents, Hadamard conjugation matrices, XYX/XZX Clifford results, Clifford group product formula, multiplexed gate decomposition formulas, T gate phase, and two-level decomposition normalization. Fixed cross-references and citations.

v0.11.0 (2024-07-25)

Kudos: jlunder (bug fixes); Vyom Patel (patelvyom) (bug fixes); podxboq@gmail.com (bug fixes); Nicolás Quesada (nquesada) (bug fixes); Frederik Filz von Reiterdank (bug fixes); 风扇 溜 Feng5haN@outlook.com (bug fixes)

v0.10.0 (2023-05-26)

Added Inverse Double Controlled NOT gate; Added Cayley graph of 1-qubit Clifford gates. Miscellaneous improvements.

v0.9.0 (2023-03-01)

Kudos: Evan McKinney (bug fix)

v0.8.0 (2022-02-14)

Kudos: Julie Germain (bug fix)

v0.7.0 (2022-01-12)

Kudos: Minh Pham (bug fix)

v0.6.0 (2021-07-24)

Kudos: Joaquín Keller (bug fix)

v0.5.0 (2020-11-16)

Kudos: Brian N. Siegelwax

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Quantum Gates: Notes on quantum gates and the circuit model of quantum computation

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