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A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics

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Publication:5145332
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DOI10.1145/3209108.3209131zbMath1452.81080arXiv1705.11151OpenAlexW2964268018WikidataQ64356749 ScholiaQ64356749MaRDI QIDQ5145332

Emmanuel Jeandel, Renaud Vilmart, Simon Perdrix

Publication date: 20 January 2021

Published in: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11151


zbMATH Keywords

completenesscategorical quantum mechanicsClifford+TZX-calculus


Mathematics Subject Classification ID

Quantum computation (81P68) Quantum gates (81P65) Applications of Clifford algebras to physics, etc. (15A67) String diagrams and graphical calculi (18M30)


Related Items (15)

Unnamed Item ⋮ Universal Properties in Quantum Theory ⋮ Flow-preserving ZX-calculus Rewrite Rules for Optimisation and Obfuscation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kindergarden quantum mechanics graduates \textit{...or how I learned to stop gluing LEGO together and love the ZX-calculus}




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