Three-Body Non-Locality in Particle Decays

Fuente: arXiv
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Autores principales: Horodecki, Paweł, Sakurai, Kazuki, Shaleena, Abhyoudai S., Spannowsky, Michael
Formato: Preprint
Publicado: 2025
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author Horodecki, Paweł
Sakurai, Kazuki
Shaleena, Abhyoudai S.
Spannowsky, Michael
author_facet Horodecki, Paweł
Sakurai, Kazuki
Shaleena, Abhyoudai S.
Spannowsky, Michael
contents The exploration of entanglement and Bell non-locality among multi-particle quantum systems offers a profound avenue for testing and understanding the limits of quantum mechanics and local real hidden variable theories. In this work, we examine non-local correlations among three massless spin-1/2 particles generated from the three-body decay of a massive particle, utilizing a framework based on general four-fermion interactions. By analyzing several inequalities, we address the detection of deviations from quantum mechanics as well as violations of two key hidden variable theories: fully local-real and bipartite local-real theories. Our approach encompasses the standard Mermin inequality and the tight $4 \times 4 \times 2$ inequality, providing a comprehensive framework for probing three-partite non-local correlations. Our findings provide deeper insights into the boundaries of classical and quantum theories in three-particle systems, advancing the understanding of non-locality in particle decays and its relevance to particle physics and quantum foundations.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19470
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Three-Body Non-Locality in Particle Decays
Horodecki, Paweł
Sakurai, Kazuki
Shaleena, Abhyoudai S.
Spannowsky, Michael
Quantum Physics
High Energy Physics - Experiment
High Energy Physics - Phenomenology
High Energy Physics - Theory
The exploration of entanglement and Bell non-locality among multi-particle quantum systems offers a profound avenue for testing and understanding the limits of quantum mechanics and local real hidden variable theories. In this work, we examine non-local correlations among three massless spin-1/2 particles generated from the three-body decay of a massive particle, utilizing a framework based on general four-fermion interactions. By analyzing several inequalities, we address the detection of deviations from quantum mechanics as well as violations of two key hidden variable theories: fully local-real and bipartite local-real theories. Our approach encompasses the standard Mermin inequality and the tight $4 \times 4 \times 2$ inequality, providing a comprehensive framework for probing three-partite non-local correlations. Our findings provide deeper insights into the boundaries of classical and quantum theories in three-particle systems, advancing the understanding of non-locality in particle decays and its relevance to particle physics and quantum foundations.
title Three-Body Non-Locality in Particle Decays
topic Quantum Physics
High Energy Physics - Experiment
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.19470