Nonlocality distillation and quantum voids

Detalhes bibliográficos
Autor(a) principal: Brito, Samuraí Gomes de Aguiar
Data de Publicação: 2019
Outros Autores: Moreno, M. G. M., Rai, Ashutosh, Araújo, Rafael Chaves Souto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30204
Resumo: Via nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource, distillation protocols also play an important role in the understanding of informationtheoretical principles for quantum theory. Here, we derive a necessary condition for nonlocality distillation from two copies and apply it, among other results, to show that one-dimensional (1D) and 2D quantum voids—faces of the nonlocal simplex set with no quantum realization—can be distilled up to PR boxes. With that, we generalize previous results in the literature, for instance, showing a broad class of postquantum correlations that make communication complexity trivial and violate the information causality principle
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spelling Brito, Samuraí Gomes de AguiarMoreno, M. G. M.Rai, AshutoshAraújo, Rafael Chaves Souto2020-09-28T12:56:03Z2020-09-28T12:56:03Z2019-07-01BRITO, S. G. A.; MORENO, M. G. M.; RAI, A.; CHAVES, R.. Nonlocality distillation and quantum voids. Physical Review A, [s.l.], v. 100, n. 1, p. 012102, 1 jul. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.012102. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physreva.100.012102.2469-992610.1103/physreva.100.012102.2469-9934https://repositorio.ufrn.br/handle/123456789/30204American Physical SocietyNonlocal2D quantum voidsNonlocality distillation and quantum voidsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleVia nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource, distillation protocols also play an important role in the understanding of informationtheoretical principles for quantum theory. Here, we derive a necessary condition for nonlocality distillation from two copies and apply it, among other results, to show that one-dimensional (1D) and 2D quantum voids—faces of the nonlocal simplex set with no quantum realization—can be distilled up to PR boxes. With that, we generalize previous results in the literature, for instance, showing a broad class of postquantum correlations that make communication complexity trivial and violate the information causality principleengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALNonlocalityDistillation_ARAUJO_2019.pdfNonlocalityDistillation_ARAUJO_2019.pdfArtigoapplication/pdf472643https://repositorio.ufrn.br/bitstream/123456789/30204/1/NonlocalityDistillation_ARAUJO_2019.pdf387e8583b2f7d8404de1e0dbfd28fa1cMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30204/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTNonlocalityDistillation_ARAUJO_2019.pdf.txtNonlocalityDistillation_ARAUJO_2019.pdf.txtExtracted texttext/plain43131https://repositorio.ufrn.br/bitstream/123456789/30204/3/NonlocalityDistillation_ARAUJO_2019.pdf.txt6e16d1e6c18322f3e67dd788269cbf95MD53THUMBNAILNonlocalityDistillation_ARAUJO_2019.pdf.jpgNonlocalityDistillation_ARAUJO_2019.pdf.jpgGenerated Thumbnailimage/jpeg1715https://repositorio.ufrn.br/bitstream/123456789/30204/4/NonlocalityDistillation_ARAUJO_2019.pdf.jpg96856c4ead48188a9618e8a234be3169MD54123456789/302042020-10-04 04:47:38.709oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-04T07:47:38Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Nonlocality distillation and quantum voids
title Nonlocality distillation and quantum voids
spellingShingle Nonlocality distillation and quantum voids
Brito, Samuraí Gomes de Aguiar
Nonlocal
2D quantum voids
title_short Nonlocality distillation and quantum voids
title_full Nonlocality distillation and quantum voids
title_fullStr Nonlocality distillation and quantum voids
title_full_unstemmed Nonlocality distillation and quantum voids
title_sort Nonlocality distillation and quantum voids
author Brito, Samuraí Gomes de Aguiar
author_facet Brito, Samuraí Gomes de Aguiar
Moreno, M. G. M.
Rai, Ashutosh
Araújo, Rafael Chaves Souto
author_role author
author2 Moreno, M. G. M.
Rai, Ashutosh
Araújo, Rafael Chaves Souto
author2_role author
author
author
dc.contributor.author.fl_str_mv Brito, Samuraí Gomes de Aguiar
Moreno, M. G. M.
Rai, Ashutosh
Araújo, Rafael Chaves Souto
dc.subject.por.fl_str_mv Nonlocal
2D quantum voids
topic Nonlocal
2D quantum voids
description Via nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource, distillation protocols also play an important role in the understanding of informationtheoretical principles for quantum theory. Here, we derive a necessary condition for nonlocality distillation from two copies and apply it, among other results, to show that one-dimensional (1D) and 2D quantum voids—faces of the nonlocal simplex set with no quantum realization—can be distilled up to PR boxes. With that, we generalize previous results in the literature, for instance, showing a broad class of postquantum correlations that make communication complexity trivial and violate the information causality principle
publishDate 2019
dc.date.issued.fl_str_mv 2019-07-01
dc.date.accessioned.fl_str_mv 2020-09-28T12:56:03Z
dc.date.available.fl_str_mv 2020-09-28T12:56:03Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv BRITO, S. G. A.; MORENO, M. G. M.; RAI, A.; CHAVES, R.. Nonlocality distillation and quantum voids. Physical Review A, [s.l.], v. 100, n. 1, p. 012102, 1 jul. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.012102. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physreva.100.012102.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30204
dc.identifier.issn.none.fl_str_mv 2469-9926
10.1103/physreva.100.012102.
2469-9934
identifier_str_mv BRITO, S. G. A.; MORENO, M. G. M.; RAI, A.; CHAVES, R.. Nonlocality distillation and quantum voids. Physical Review A, [s.l.], v. 100, n. 1, p. 012102, 1 jul. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.012102. Acesso em: 15 set. 2020. http://dx.doi.org/10.1103/physreva.100.012102.
2469-9926
10.1103/physreva.100.012102.
2469-9934
url https://repositorio.ufrn.br/handle/123456789/30204
dc.language.iso.fl_str_mv eng
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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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