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Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models
Bell nonlocality and Kochen–Specker contextuality are among the main topics in the foundations of quantum theory. Both of them are related to stronger-than-classical correlations, with the former usually referring to spatially separated systems, while the latter considers a single system. In recent...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10529458/ https://www.ncbi.nlm.nih.gov/pubmed/37761575 http://dx.doi.org/10.3390/e25091276 |
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author | Mazzari, André Ruffolo, Gabriel Vieira, Carlos Temistocles, Tassius Rabelo, Rafael Terra Cunha, Marcelo |
author_facet | Mazzari, André Ruffolo, Gabriel Vieira, Carlos Temistocles, Tassius Rabelo, Rafael Terra Cunha, Marcelo |
author_sort | Mazzari, André |
collection | PubMed |
description | Bell nonlocality and Kochen–Specker contextuality are among the main topics in the foundations of quantum theory. Both of them are related to stronger-than-classical correlations, with the former usually referring to spatially separated systems, while the latter considers a single system. In recent works, a unified framework for these phenomena was presented. This article reviews, expands, and obtains new results regarding this framework. Contextual and disturbing features inside the local models are explored, which allows for the definition of different local sets with a non-trivial relation among them. The relations between the set of quantum correlations and these local sets are also considered, and post-quantum local behaviours are found. Moreover, examples of correlations that are both local and non-contextual but such that these two classical features cannot be expressed by the same hidden variable model are shown. Extensions of the Fine–Abramsky–Brandenburger theorem are also discussed. |
format | Online Article Text |
id | pubmed-10529458 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-105294582023-09-28 Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models Mazzari, André Ruffolo, Gabriel Vieira, Carlos Temistocles, Tassius Rabelo, Rafael Terra Cunha, Marcelo Entropy (Basel) Article Bell nonlocality and Kochen–Specker contextuality are among the main topics in the foundations of quantum theory. Both of them are related to stronger-than-classical correlations, with the former usually referring to spatially separated systems, while the latter considers a single system. In recent works, a unified framework for these phenomena was presented. This article reviews, expands, and obtains new results regarding this framework. Contextual and disturbing features inside the local models are explored, which allows for the definition of different local sets with a non-trivial relation among them. The relations between the set of quantum correlations and these local sets are also considered, and post-quantum local behaviours are found. Moreover, examples of correlations that are both local and non-contextual but such that these two classical features cannot be expressed by the same hidden variable model are shown. Extensions of the Fine–Abramsky–Brandenburger theorem are also discussed. MDPI 2023-08-30 /pmc/articles/PMC10529458/ /pubmed/37761575 http://dx.doi.org/10.3390/e25091276 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Mazzari, André Ruffolo, Gabriel Vieira, Carlos Temistocles, Tassius Rabelo, Rafael Terra Cunha, Marcelo Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title | Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title_full | Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title_fullStr | Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title_full_unstemmed | Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title_short | Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models |
title_sort | generalized bell scenarios: disturbing consequences on local-hidden-variable models |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10529458/ https://www.ncbi.nlm.nih.gov/pubmed/37761575 http://dx.doi.org/10.3390/e25091276 |
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