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A graphical approach to measurement-based quantum computing

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arxiv 1203.6242 v1 pith:SOBHP72Z submitted 2012-03-28 quant-ph cs.LOmath.CT

classification quant-phcs.LOmath.CT
keywords quantumgraphicalcomputationscomputingentangledmeasurement-basedstatesapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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Quantum computations are easily represented in the graphical notation known as the ZX-calculus, a.k.a. the red-green calculus. We demonstrate its use in reasoning about measurement-based quantum computing, where the graphical syntax directly captures the structure of the entangled states used to represent computations, and show that the notion of information flow within the entangled states gives rise to rewriting strategies for proving the correctness of quantum programs.

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  1. Graphical Calculus for Fermionic Tensors

    quant-ph 2025-08 conditional novelty 6.0 of 10

    A parity-aware graphical calculus extends the ZX diagram language to fermionic modes, covering Gaussian states, partial traces, purification, fermionization/bosonization, and fermionic error-correcting codes.

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