Homotopical characterization of strongly contextual simplicial distributions on cone spaces

• URL: http://arxiv.org/abs/2311.14111v1
• Date: Thu, 23 Nov 2023 17:14:24 GMT
• Title: Homotopical characterization of strongly contextual simplicial distributions on cone spaces
• Authors: Aziz Kharoof, Cihan Okay
• Abstract summary: This paper offers a novel homotopical characterization of strongly contextual simplicial distributions with binary outcomes. We employ a homotopical approach that includes collapsing measurement spaces and introduce categories associated with simplicial distributions that can detect strong contextuality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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