Warring Contextualities -- Provably Classical vs Provably Nonclassical

• URL: http://arxiv.org/abs/2604.14319v2
• Date: Fri, 17 Apr 2026 12:55:43 GMT
• Title: Warring Contextualities -- Provably Classical vs Provably Nonclassical
• Abstract summary: We argue that Kochen-Specker contextuality provides a generalisation of the idea of system being fundamentally nonclassical, while Spekkens' noncontextuality provides a generalisation of the idea of a system being classical.<n>This allows us to reconcile the two approaches, as different stages in a hierarchy of classicality/nonclassicality.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the literature, there are two differing definitions of contextuality: Kochen and Specker's, and Spekkens' (or ``generalised''). However, researchers using one of these definitions rarely consider the other, meaning comparative analysis of these two notions is rare. In this paper, we advance the idea that Kochen-Specker contextuality provides a generalisation of the idea of system being fundamentally nonclassical, while Spekkens' noncontextuality provides a generalisation of the idea of a system being classical. This allows us to reconcile the two approaches, as different stages in a hierarchy of classicality/nonclassicality.

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