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arXiv · 1708.00843

Almost Equivalent Paradigms of Contextuality

Linde Wester
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Abstract

Various frameworks that generalise the notion of contextuality in theories of physics have been proposed; one is the sheaf-theoretic approach by Abramsky and Brandenburger; an other is the equivalence-based approach by Spekkens. We show that these frameworks are equivalent for scenarios with preparations and measurements, whenever factorizability is justified. This connection gives rise to a categorical isomorphism between suitable categories. We combine the advantages of the two approaches to derive a canonical method for detecting contextuality in such settings.

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Linde Wester. 2017-08-02. Almost Equivalent Paradigms of Contextuality. https://doi.org/10.4204/eptcs.266.1

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