Bounding the sets of classical and quantum correlations in networks

We present a method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping. By imposing relaxations of factorization constraints in a form compatible with semidefinite programing, it enables the...

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Authors: Pozas-Kerstjens, Alejandro, Rabelo, Rafael, Rudnicki, Łukasz, Araújo, Rafael Chaves Souto, Cavalcanti, Daniel, Navascu´es, Miguel, Acín, Antonio
Format: article
Status:Published version
Publication Date:2019
Country:Brasil
Institution:Universidade Federal do Rio Grande do Norte (UFRN)
Repository:Repositório Institucional da UFRN
Language:English
OAI Identifier:oai:repositorio.ufrn.br:123456789/30207
Online Access:https://repositorio.ufrn.br/handle/123456789/30207
Access Level:Open access
Keyword:Entanglement swapping
Quantum networks
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spelling Bounding the sets of classical and quantum correlations in networksEntanglement swappingQuantum networksWe present a method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping. By imposing relaxations of factorization constraints in a form compatible with semidefinite programing, it enables the use of the Navascu´es-Pironio-Acín hierarchy in complex quantum networks. We first show how the technique successfully identifies correlations not attainable in the entanglement-swapping scenario. Then we use it to show how the nonlocal power of measurements can be activated in a network: there exist measuring devices that, despite being unable to generate nonlocal correlations in the standard Bell scenario, provide a classical-quantum separation in an entanglement swapping configurationAmerican Physical Society2020-09-28T13:31:40Z2020-09-28T13:31:40Z2019-10-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfPOZAS-KERSTJENS, Alejandro; RABELO, Rafael; RUDNICKI, Łukasz; CHAVES, Rafael; CAVALCANTI, Daniel; NAVASCUÉS, Miguel; ACÍN, Antonio. Bounding the Sets of Classical and Quantum Correlations in Networks. Physical Review Letters, [S.L.], v. 123, n. 14, p. 140503, 3 out. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.140503. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physrevlett.123.140503.0031-90071079-7114https://repositorio.ufrn.br/handle/123456789/3020710.1103/physrevlett.123.140503.ark:/41046/00130000139zzengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessPozas-Kerstjens, AlejandroRabelo, RafaelRudnicki, ŁukaszAraújo, Rafael Chaves SoutoCavalcanti, DanielNavascu´es, MiguelAcín, Antonio2020-10-04T07:47:36Zoai:repositorio.ufrn.br:123456789/30207Repositório InstitucionalPUBhttp://repositorio.ufrn.br/oai/repositorio@bczm.ufrn.bropendoar:2020-10-04T07:47:36Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.none.fl_str_mv Bounding the sets of classical and quantum correlations in networks
title Bounding the sets of classical and quantum correlations in networks
spellingShingle Bounding the sets of classical and quantum correlations in networks
Pozas-Kerstjens, Alejandro
Entanglement swapping
Quantum networks
title_short Bounding the sets of classical and quantum correlations in networks
title_full Bounding the sets of classical and quantum correlations in networks
title_fullStr Bounding the sets of classical and quantum correlations in networks
title_full_unstemmed Bounding the sets of classical and quantum correlations in networks
title_sort Bounding the sets of classical and quantum correlations in networks
dc.creator.none.fl_str_mv Pozas-Kerstjens, Alejandro
Rabelo, Rafael
Rudnicki, Łukasz
Araújo, Rafael Chaves Souto
Cavalcanti, Daniel
Navascu´es, Miguel
Acín, Antonio
author Pozas-Kerstjens, Alejandro
author_facet Pozas-Kerstjens, Alejandro
Rabelo, Rafael
Rudnicki, Łukasz
Araújo, Rafael Chaves Souto
Cavalcanti, Daniel
Navascu´es, Miguel
Acín, Antonio
author_role author
author2 Rabelo, Rafael
Rudnicki, Łukasz
Araújo, Rafael Chaves Souto
Cavalcanti, Daniel
Navascu´es, Miguel
Acín, Antonio
author2_role author
author
author
author
author
author
dc.subject.por.fl_str_mv Entanglement swapping
Quantum networks
topic Entanglement swapping
Quantum networks
description We present a method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping. By imposing relaxations of factorization constraints in a form compatible with semidefinite programing, it enables the use of the Navascu´es-Pironio-Acín hierarchy in complex quantum networks. We first show how the technique successfully identifies correlations not attainable in the entanglement-swapping scenario. Then we use it to show how the nonlocal power of measurements can be activated in a network: there exist measuring devices that, despite being unable to generate nonlocal correlations in the standard Bell scenario, provide a classical-quantum separation in an entanglement swapping configuration
publishDate 2019
dc.date.none.fl_str_mv 2019-10-03
2020-09-28T13:31:40Z
2020-09-28T13:31:40Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv POZAS-KERSTJENS, Alejandro; RABELO, Rafael; RUDNICKI, Łukasz; CHAVES, Rafael; CAVALCANTI, Daniel; NAVASCUÉS, Miguel; ACÍN, Antonio. Bounding the Sets of Classical and Quantum Correlations in Networks. Physical Review Letters, [S.L.], v. 123, n. 14, p. 140503, 3 out. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.140503. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physrevlett.123.140503.
0031-9007
1079-7114
https://repositorio.ufrn.br/handle/123456789/30207
10.1103/physrevlett.123.140503.
dc.identifier.dark.fl_str_mv ark:/41046/00130000139zz
identifier_str_mv POZAS-KERSTJENS, Alejandro; RABELO, Rafael; RUDNICKI, Łukasz; CHAVES, Rafael; CAVALCANTI, Daniel; NAVASCUÉS, Miguel; ACÍN, Antonio. Bounding the Sets of Classical and Quantum Correlations in Networks. Physical Review Letters, [S.L.], v. 123, n. 14, p. 140503, 3 out. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.140503. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physrevlett.123.140503.
0031-9007
1079-7114
10.1103/physrevlett.123.140503.
ark:/41046/00130000139zz
url https://repositorio.ufrn.br/handle/123456789/30207
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
instacron_str UFRN
institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
repository.name.fl_str_mv Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)
repository.mail.fl_str_mv repositorio@bczm.ufrn.br
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