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Equivariant simplicial distributions and quantum contextuality

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arxiv 2310.18135 v1 pith:TKKA3JKA submitted 2023-10-27 quant-ph math.AT

Cihan Okay , Igor Sikora This is my paper · ORCID
classification quant-phmath.AT
keywords contextualityequivariantquantumclassescohomologyapplicationsapproachcomes
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We introduce an equivariant version of contextuality with respect to a symmetry group, which comes with natural applications to quantum theory. In the equivariant setting, we construct cohomology classes that can detect contextuality. This framework is motivated by the earlier topological approach to contextuality producing cohomology classes that serve as computational primitives in measurement-based quantum computing.

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Cited by 1 Pith paper

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  1. Simplicial effects and weakly associative partial groups

    math.CT 2025-02 reject novelty 6.0 of 10

    Introduces weak partial monoids and simplicial effects, and claims a new simplicial effect beyond effect algebroids whose states match all density operators.

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