Warring Contextualities -- Provably Classical vs Provably Nonclassical

Fuente: arXiv
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Autori principali: Bozzetto, Enrico, Hance, Jonte R.
Natura: Preprint
Pubblicazione: 2026
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author Bozzetto, Enrico
Hance, Jonte R.
author_facet Bozzetto, Enrico
Hance, Jonte R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14319
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Warring Contextualities -- Provably Classical vs Provably Nonclassical
Bozzetto, Enrico
Hance, Jonte R.
Quantum Physics
History and Philosophy of Physics
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.
title Warring Contextualities -- Provably Classical vs Provably Nonclassical
topic Quantum Physics
History and Philosophy of Physics
url https://arxiv.org/abs/2604.14319