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A note on diagonal gates in SZX-calculus

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arxiv 2012.09540 v1 pith:42WWHQVB submitted 2020-12-17 quant-ph

Titouan Carette This is my paper · ORCID
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keywords gatesdiagonalnotebasiscalculuscompactcomputationalcontrolled
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This note describes how the the scalable ZXH calculus can be used to represent in a compact way the quantum gates that are diagonal in the computational basis. This includes controlled and multi-controlled Z gates, their generalizations, respectively graph and hypergraph operators, and also phase gadgets.

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  1. M\"obius-Guided Diagonal-Gate Compilation with Native Multiqubit Controlled-Phase Gates on Neutral-Atom Processors

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Möbius inversion turns diagonal phase layers into phase hypergraphs that a neutral-atom scheduler can execute as native multiqubit controlled-phase gates when routing and error costs favor them.

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