Unbounded Bell violations for quantum genuine multipartite non-locality

The violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain information-theoretic tasks. The relative degree of quantum violations has been well studied...

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Detalles Bibliográficos
Autores: Amr, Abderramán, Palazuelos Cabezón, Carlos, de Vicente, Julio I
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7828
Acceso en línea:https://hdl.handle.net/20.500.14352/7828
Access Level:acceso abierto
Palabra clave:530.145
Multipartite systems
Quantum nonlocality
Bell inequalities
Física matemática
Teoría de los quanta
2210.23 Teoría Cuántica
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oai_identifier_str oai:docta.ucm.es:20.500.14352/7828
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spelling Unbounded Bell violations for quantum genuine multipartite non-localityAmr, AbderramánPalazuelos Cabezón, Carlosde Vicente, Julio I530.145Multipartite systemsQuantum nonlocalityBell inequalitiesFísica matemáticaTeoría de los quanta2210.23 Teoría CuánticaThe violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain information-theoretic tasks. The relative degree of quantum violations has been well studied in the bipartite scenario and in the multipartite scenario with respect to fully local behaviours. However, the multipartite setting entails a more complex classification in which different notions on non-locality can be established. In particular, genuine multipartite non-local distributions apprehend truly multipartite effects, given that these behaviours cannot be reproduced by bilocal models that allow correlations among strict subsets of the parties beyond a local common cause. We show here that, while in the so-called correlation scenario the relative violation of bilocal Bell inequalities by quantum resources is bounded, i.e. it does not grow arbitrarily with the number of inputs, it turns out to be unbounded in the general case. We identify Bell functionals that take the form of non-local games for which the ratio of the quantum and bilocal values grows unboundedly as a function of the number of inputs and outputs.IOPUniversidad Complutense de Madrid20202020-01-0120202020-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7828reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/78282026-06-02T12:44:21Z
dc.title.none.fl_str_mv Unbounded Bell violations for quantum genuine multipartite non-locality
title Unbounded Bell violations for quantum genuine multipartite non-locality
spellingShingle Unbounded Bell violations for quantum genuine multipartite non-locality
Amr, Abderramán
530.145
Multipartite systems
Quantum nonlocality
Bell inequalities
Física matemática
Teoría de los quanta
2210.23 Teoría Cuántica
title_short Unbounded Bell violations for quantum genuine multipartite non-locality
title_full Unbounded Bell violations for quantum genuine multipartite non-locality
title_fullStr Unbounded Bell violations for quantum genuine multipartite non-locality
title_full_unstemmed Unbounded Bell violations for quantum genuine multipartite non-locality
title_sort Unbounded Bell violations for quantum genuine multipartite non-locality
dc.creator.none.fl_str_mv Amr, Abderramán
Palazuelos Cabezón, Carlos
de Vicente, Julio I
author Amr, Abderramán
author_facet Amr, Abderramán
Palazuelos Cabezón, Carlos
de Vicente, Julio I
author_role author
author2 Palazuelos Cabezón, Carlos
de Vicente, Julio I
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 530.145
Multipartite systems
Quantum nonlocality
Bell inequalities
Física matemática
Teoría de los quanta
2210.23 Teoría Cuántica
topic 530.145
Multipartite systems
Quantum nonlocality
Bell inequalities
Física matemática
Teoría de los quanta
2210.23 Teoría Cuántica
description The violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain information-theoretic tasks. The relative degree of quantum violations has been well studied in the bipartite scenario and in the multipartite scenario with respect to fully local behaviours. However, the multipartite setting entails a more complex classification in which different notions on non-locality can be established. In particular, genuine multipartite non-local distributions apprehend truly multipartite effects, given that these behaviours cannot be reproduced by bilocal models that allow correlations among strict subsets of the parties beyond a local common cause. We show here that, while in the so-called correlation scenario the relative violation of bilocal Bell inequalities by quantum resources is bounded, i.e. it does not grow arbitrarily with the number of inputs, it turns out to be unbounded in the general case. We identify Bell functionals that take the form of non-local games for which the ratio of the quantum and bilocal values grows unboundedly as a function of the number of inputs and outputs.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
2020
2020-01-01
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/20.500.14352/7828
url https://hdl.handle.net/20.500.14352/7828
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP
publisher.none.fl_str_mv IOP
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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