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Topological proofs of contextuality in quantum mechanics

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arxiv 1701.01888 v2 pith:6VAHWTR6 submitted 2017-01-07 quant-ph

Cihan Okay , Sam Roberts , Stephen D. Bartlett , Robert Raussendorf This is my paper
classification quant-ph
keywords contextualityproofsquantumframeworkmechanicstopologicalappliesarguments
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We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analogs of absolutely maximally entangled states in nonlocal correlations via the sheaf-theoretic framework and its applications

    quant-ph 2026-01 conditional novelty 4.0 of 10

    AMCCs are introduced as the correlation-space analogue of absolutely maximally entangled states, with PR boxes, GHZ correlations, and parity/CSP-built families as examples.

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