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Quantum Gravity Relativistic Quantum Information

Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory

arXiv
Authors: M. S. Guimaraes, I. Roditi, S. P. Sorella

Year

2026

Paper ID

4058

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

N/A

Abstract

A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory. By means of the bounded Hermitian operator sign\(varphi(f\)), where varphi(f) stands for the smeared scalar field, it turns out that the Bell-CHSH correlator can be evaluated in closed analytic form in terms of the imaginary error function. Being the superposition of two coherent states, cat states allow for the existence of interference terms which give rise to a violation of the Bell-CHSH inequality. As such, the present setup can be considered as an explicit realization of the results obtained by Summers-Werner.

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  • This paper contributes to the Quantum Gravity & Relativistic Quantum Information research area in the Quantum Articles archive.
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  • A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.05216 [2] arXiv https://arxiv.org/abs/2601.05216 [3] Publisher https://arxiv.org/abs/2601.05216

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