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https://github.com/gecrooks/on_gates

Quantum Gates: Notes on quantum gates and the circuit model of quantum computation
https://github.com/gecrooks/on_gates

beta quantum-computing

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

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# Quantum Gates

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

[Gavin E. Crooks](https://threeplusone.com) © 2020-
gavincrooks@gmail.com

* PDF: (https://threeplusone.com/gates)
* Source: (https://github.com/gecrooks/on_gates)
* Issues: (https://github.com/gecrooks//on_gates/issues)

## 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 (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