Kochen-Specker contextuality

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible m...

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Autores: Budroni, Costantino, Cabello Quintero, Adán, Gühne, Otfried, Kleinmann, Matthias, Larsson, Jan Ake
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144776
Acceso en línea:https://hdl.handle.net/11441/144776
https://doi.org/10.1103/RevModPhys.94.045007
Access Level:acceso abierto
Palabra clave:Kochen-Specker theorem
Quantum mechanics
Quantum contextuality
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spelling Kochen-Specker contextualityBudroni, CostantinoCabello Quintero, AdánGühne, OtfriedKleinmann, MatthiasLarsson, Jan AkeKochen-Specker theoremQuantum mechanicsQuantum contextualityA central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained, and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.American Physical SocietyFísica Aplicada IIFQM239: Fundamentos de Mecánica Cuántica2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/144776https://doi.org/10.1103/RevModPhys.94.045007reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésReviews of Modern Physics, 94 (045007).https://journals.aps.org/rmp/pdf/10.1103/RevModPhys.94.045007info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1447762026-06-17T12:51:07Z
dc.title.none.fl_str_mv Kochen-Specker contextuality
title Kochen-Specker contextuality
spellingShingle Kochen-Specker contextuality
Budroni, Costantino
Kochen-Specker theorem
Quantum mechanics
Quantum contextuality
title_short Kochen-Specker contextuality
title_full Kochen-Specker contextuality
title_fullStr Kochen-Specker contextuality
title_full_unstemmed Kochen-Specker contextuality
title_sort Kochen-Specker contextuality
dc.creator.none.fl_str_mv Budroni, Costantino
Cabello Quintero, Adán
Gühne, Otfried
Kleinmann, Matthias
Larsson, Jan Ake
author Budroni, Costantino
author_facet Budroni, Costantino
Cabello Quintero, Adán
Gühne, Otfried
Kleinmann, Matthias
Larsson, Jan Ake
author_role author
author2 Cabello Quintero, Adán
Gühne, Otfried
Kleinmann, Matthias
Larsson, Jan Ake
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Física Aplicada II
FQM239: Fundamentos de Mecánica Cuántica
dc.subject.none.fl_str_mv Kochen-Specker theorem
Quantum mechanics
Quantum contextuality
topic Kochen-Specker theorem
Quantum mechanics
Quantum contextuality
description A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained, and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/144776
https://doi.org/10.1103/RevModPhys.94.045007
url https://hdl.handle.net/11441/144776
https://doi.org/10.1103/RevModPhys.94.045007
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reviews of Modern Physics, 94 (045007).
https://journals.aps.org/rmp/pdf/10.1103/RevModPhys.94.045007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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