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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 3 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.

  3. Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators

    quant-ph 2025-01 conditional novelty 4.0 of 10

    Bell-CHSH and Mermin inequalities are numerically violated in a 1+1 scalar field theory using vacuum-projector and Weyl operators, with violations increasing toward the Tsirelson bound as mass decreases.

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