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Investigation of the Bell-CHSH inequality in diamond regions

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arxiv 2411.03485 v1 pith:PJHIP6Q5 submitted 2024-11-05 quant-ph hep-th

M. S. Guimaraes , I. Roditi , S.P. Sorella This is my paper · ORCID
classification quant-phhep-th
keywords bell-chshdiamondsinequalitycausalchoosingcorrelationdiamondfield
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abstract

A numerical setup for the Bell-CHSH inequality for causal diamonds in $1+1$ Minkowski spacetime is presented. Upon choosing a suitable set of test functions supported in the diamonds, sensible violations are reported for the correlation function of Weyl operators of a real scalar massive field in the vacuum state.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory

    quant-ph 2025-05 conditional novelty 6.0 of 10

    Explicit bounded Hermitian operators built from Weyl operators violate the Bell-CHSH inequality in the vacuum of a 1+1 scalar QFT, with a numerical construction matching modular-theory predictions.

  2. A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

    hep-th 2025-02 conditional novelty 4.0 of 10

    For a free massive scalar field in 1+1 dimensions, the Araki-Uhlmann relative entropy between a coherent state and the vacuum decreases with mass and increases with region size in numerical tests.

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