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arXiv · 2311.14111

Homotopical characterization of strongly contextual simplicial distributions on cone spaces

Aziz Kharoof·Cihan Okay
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Abstract

This paper offers a novel homotopical characterization of strongly contextual simplicial distributions with binary outcomes, specifically those defined on the cone of a 1-dimensional space. In the sheaf-theoretic framework, such distributions correspond to non-signaling distributions on measurement scenarios where each context contains 2 measurements with binary outcomes. To establish our results, we employ a homotopical approach that includes collapsing measurement spaces and introduce categories associated with simplicial distributions that can detect strong contextuality.

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Aziz Kharoof, Cihan Okay. 2023-11-23. Homotopical characterization of strongly contextual simplicial distributions on cone spaces. https://arxiv.org/abs/2311.14111

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