Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”

The Suppes-Zanotti inequalities involving the joint expectations of just three binary quantum observables are (re-)derived by the hull computation of the respective correlation polytope. A min-max calculation reveals its maximal quantum violations correspond to a generalized Tsirelson bound. Notions...

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Autor principal: Svozil, Karl
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591678/
https://www.ncbi.nlm.nih.gov/pubmed/34803183
http://dx.doi.org/10.1007/s10773-021-04850-9
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author Svozil, Karl
author_facet Svozil, Karl
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description The Suppes-Zanotti inequalities involving the joint expectations of just three binary quantum observables are (re-)derived by the hull computation of the respective correlation polytope. A min-max calculation reveals its maximal quantum violations correspond to a generalized Tsirelson bound. Notions of “contextuality” motivated by such violations are critically reviewed.
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spelling pubmed-85916782021-11-19 Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality” Svozil, Karl Int J Theor Phys (Dordr) Article The Suppes-Zanotti inequalities involving the joint expectations of just three binary quantum observables are (re-)derived by the hull computation of the respective correlation polytope. A min-max calculation reveals its maximal quantum violations correspond to a generalized Tsirelson bound. Notions of “contextuality” motivated by such violations are critically reviewed. Springer US 2021-06-10 2021 /pmc/articles/PMC8591678/ /pubmed/34803183 http://dx.doi.org/10.1007/s10773-021-04850-9 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Svozil, Karl
Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title_full Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title_fullStr Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title_full_unstemmed Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title_short Quantum Violation of the Suppes-Zanotti Inequalities and “Contextuality”
title_sort quantum violation of the suppes-zanotti inequalities and “contextuality”
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591678/
https://www.ncbi.nlm.nih.gov/pubmed/34803183
http://dx.doi.org/10.1007/s10773-021-04850-9
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