Topological proofs of contextuality in quantum mechanics

Cihan Okay; Robert Raussendorf; Sam Roberts; Stephen D. Bartlett

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

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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.

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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