Random constructions in Bell Inequalities: a survey

Initially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been ma...

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Detalhes bibliográficos
Autor: Palazuelos, Carlos
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/12161
Acesso em linha:https://hdl.handle.net/20.500.14352/12161
Access Level:Acceso aberto
Palavra-chave:530.145
Teoría de los Quanta
Teorema de Bell
Desigualdades de Bell
Bell inequalities
Quantum nonlocality
Probabilistic techniques
Teoría de los quanta
2210.23 Teoría Cuántica
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oai_identifier_str oai:docta.ucm.es:20.500.14352/12161
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spelling Random constructions in Bell Inequalities: a surveyPalazuelos, Carlos530.145Teoría de los QuantaTeorema de BellDesigualdades de BellBell inequalitiesQuantum nonlocalityProbabilistic techniquesTeoría de los quanta2210.23 Teoría CuánticaInitially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been made in order to quantify such Bell violations. Probabilistic techniques have been heavily used in this context with two different purposes. First, to quantify how common the phenomenon of Bell violations is; and second, to find large Bell violations in order to better understand the possibilitiesand limitations of this phenomenon. However, the strong mathematical content of these results has discouraged some of the potentially interested readers. The aim of the present work is to review some of the recent results in this direction by focusing on the main ideas and removing most of the technical details, to make the previous study more accessible to a wide audience.SpringerUniversidad Complutense de Madrid20182018-01-0120182018-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12161reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/121612026-06-02T12:44:21Z
dc.title.none.fl_str_mv Random constructions in Bell Inequalities: a survey
title Random constructions in Bell Inequalities: a survey
spellingShingle Random constructions in Bell Inequalities: a survey
Palazuelos, Carlos
530.145
Teoría de los Quanta
Teorema de Bell
Desigualdades de Bell
Bell inequalities
Quantum nonlocality
Probabilistic techniques
Teoría de los quanta
2210.23 Teoría Cuántica
title_short Random constructions in Bell Inequalities: a survey
title_full Random constructions in Bell Inequalities: a survey
title_fullStr Random constructions in Bell Inequalities: a survey
title_full_unstemmed Random constructions in Bell Inequalities: a survey
title_sort Random constructions in Bell Inequalities: a survey
dc.creator.none.fl_str_mv Palazuelos, Carlos
author Palazuelos, Carlos
author_facet Palazuelos, Carlos
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 530.145
Teoría de los Quanta
Teorema de Bell
Desigualdades de Bell
Bell inequalities
Quantum nonlocality
Probabilistic techniques
Teoría de los quanta
2210.23 Teoría Cuántica
topic 530.145
Teoría de los Quanta
Teorema de Bell
Desigualdades de Bell
Bell inequalities
Quantum nonlocality
Probabilistic techniques
Teoría de los quanta
2210.23 Teoría Cuántica
description Initially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been made in order to quantify such Bell violations. Probabilistic techniques have been heavily used in this context with two different purposes. First, to quantify how common the phenomenon of Bell violations is; and second, to find large Bell violations in order to better understand the possibilitiesand limitations of this phenomenon. However, the strong mathematical content of these results has discouraged some of the potentially interested readers. The aim of the present work is to review some of the recent results in this direction by focusing on the main ideas and removing most of the technical details, to make the previous study more accessible to a wide audience.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01
2018
2018-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12161
url https://hdl.handle.net/20.500.14352/12161
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
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