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Quantum Foundations

The CHSH Game, Tsirelson's Bound, and Causal Locality

arXiv

Authors: Jacob A. Barandes, Mahmudul Hasan, David Kagan

Year

2025

Paper ID

5813

Status

Preprint

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~2 min

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Abstract

We reformulate the CHSH game in terms of indivisible stochastic processes. Using Barandes's stochastic-quantum correspondence and its associated definition of causal locality, we present a novel proof of the Tsirelson bound. In particular, we show that unlike the no-signaling principle alone, the postulates defining causally local, indivisible stochastic processes are precisely strong enough to allow for violations of the Bell inequality up to, but not beyond, the Tsirelson bound.

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We reformulate the CHSH game in terms of indivisible stochastic processes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.18105 [2] arXiv https://arxiv.org/abs/2512.18105 [3] Publisher https://arxiv.org/abs/2512.18105

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