Geometry of the quantum set on no-signaling faces

Detalhes bibliográficos
Autor(a) principal: Rai, Ashutosh
Data de Publicação: 2019
Outros Autores: Duarte, Cristhiano, Brito, Samuraí Gomes de Aguiar, Araújo, Rafael Chaves Souto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/30123
Resumo: Since Bell’s theorem we know that quantum mechanics is incompatible with local hidden-variable models, the phenomenon known as quantum nonlocality. However, despite steady progress over the years, a precise characterization of the set of quantum correlations has remained elusive. There are correlations compatible with the no-signaling principle and still beyond what can be achieved within quantum theory, which has motivated the search for physical principles and computational methods to decide the quantum or postquantum behavior of correlations. Here, we identify a feature of Bell correlations that we call quantum voids: faces of the no-signaling set where all nonlocal correlations are postquantum. Considering the simplest possible Bell scenario, we give a full characterization of quantum voids, also understanding its connections to known principles and its potential use as a dimension witness
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spelling Rai, AshutoshDuarte, CristhianoBrito, Samuraí Gomes de AguiarAraújo, Rafael Chaves Souto2020-09-20T18:50:27Z2020-09-20T18:50:27Z2019-03-11RAI, Ashutosh; DUARTE, Cristhiano; BRITO, Samuraí; CHAVES, Rafael. Geometry of the quantum set on no-signaling faces. Physical Review A, [S.L.], v. 99, n. 3, p. 032106, 11 mar. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.032106. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physreva.99.032106.2469-99262469-9934https://repositorio.ufrn.br/jspui/handle/123456789/3012310.1103/PhysRevA.99.032106American Physical SocietyNo-signalingQuantum mechanicsGeometry of the quantum set on no-signaling facesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleSince Bell’s theorem we know that quantum mechanics is incompatible with local hidden-variable models, the phenomenon known as quantum nonlocality. However, despite steady progress over the years, a precise characterization of the set of quantum correlations has remained elusive. There are correlations compatible with the no-signaling principle and still beyond what can be achieved within quantum theory, which has motivated the search for physical principles and computational methods to decide the quantum or postquantum behavior of correlations. Here, we identify a feature of Bell correlations that we call quantum voids: faces of the no-signaling set where all nonlocal correlations are postquantum. Considering the simplest possible Bell scenario, we give a full characterization of quantum voids, also understanding its connections to known principles and its potential use as a dimension witnessengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALGeometryOfTheQuantum_ARAÚJO_2019.pdfGeometryOfTheQuantum_ARAÚJO_2019.pdfArtigoapplication/pdf608362https://repositorio.ufrn.br/bitstream/123456789/30123/1/GeometryOfTheQuantum_ARA%c3%9aJO_2019.pdf046d1f413386bfc478c339d49bf22e60MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30123/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTGeometryOfTheQuantum_ARAÚJO_2019.pdf.txtGeometryOfTheQuantum_ARAÚJO_2019.pdf.txtExtracted texttext/plain69801https://repositorio.ufrn.br/bitstream/123456789/30123/3/GeometryOfTheQuantum_ARA%c3%9aJO_2019.pdf.txtbcca1e5b91bfcfd1957b3043f318e88fMD53THUMBNAILGeometryOfTheQuantum_ARAÚJO_2019.pdf.jpgGeometryOfTheQuantum_ARAÚJO_2019.pdf.jpgGenerated Thumbnailimage/jpeg1758https://repositorio.ufrn.br/bitstream/123456789/30123/4/GeometryOfTheQuantum_ARA%c3%9aJO_2019.pdf.jpg26dda080331b64761b4ae735ed6487faMD54123456789/301232020-09-27 04:55:36.418oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-09-27T07:55:36Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Geometry of the quantum set on no-signaling faces
title Geometry of the quantum set on no-signaling faces
spellingShingle Geometry of the quantum set on no-signaling faces
Rai, Ashutosh
No-signaling
Quantum mechanics
title_short Geometry of the quantum set on no-signaling faces
title_full Geometry of the quantum set on no-signaling faces
title_fullStr Geometry of the quantum set on no-signaling faces
title_full_unstemmed Geometry of the quantum set on no-signaling faces
title_sort Geometry of the quantum set on no-signaling faces
author Rai, Ashutosh
author_facet Rai, Ashutosh
Duarte, Cristhiano
Brito, Samuraí Gomes de Aguiar
Araújo, Rafael Chaves Souto
author_role author
author2 Duarte, Cristhiano
Brito, Samuraí Gomes de Aguiar
Araújo, Rafael Chaves Souto
author2_role author
author
author
dc.contributor.author.fl_str_mv Rai, Ashutosh
Duarte, Cristhiano
Brito, Samuraí Gomes de Aguiar
Araújo, Rafael Chaves Souto
dc.subject.por.fl_str_mv No-signaling
Quantum mechanics
topic No-signaling
Quantum mechanics
description Since Bell’s theorem we know that quantum mechanics is incompatible with local hidden-variable models, the phenomenon known as quantum nonlocality. However, despite steady progress over the years, a precise characterization of the set of quantum correlations has remained elusive. There are correlations compatible with the no-signaling principle and still beyond what can be achieved within quantum theory, which has motivated the search for physical principles and computational methods to decide the quantum or postquantum behavior of correlations. Here, we identify a feature of Bell correlations that we call quantum voids: faces of the no-signaling set where all nonlocal correlations are postquantum. Considering the simplest possible Bell scenario, we give a full characterization of quantum voids, also understanding its connections to known principles and its potential use as a dimension witness
publishDate 2019
dc.date.issued.fl_str_mv 2019-03-11
dc.date.accessioned.fl_str_mv 2020-09-20T18:50:27Z
dc.date.available.fl_str_mv 2020-09-20T18:50:27Z
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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dc.identifier.citation.fl_str_mv RAI, Ashutosh; DUARTE, Cristhiano; BRITO, Samuraí; CHAVES, Rafael. Geometry of the quantum set on no-signaling faces. Physical Review A, [S.L.], v. 99, n. 3, p. 032106, 11 mar. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.032106. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physreva.99.032106.
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dc.identifier.issn.none.fl_str_mv 2469-9926
2469-9934
dc.identifier.doi.none.fl_str_mv 10.1103/PhysRevA.99.032106
identifier_str_mv RAI, Ashutosh; DUARTE, Cristhiano; BRITO, Samuraí; CHAVES, Rafael. Geometry of the quantum set on no-signaling faces. Physical Review A, [S.L.], v. 99, n. 3, p. 032106, 11 mar. 2019. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.032106. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physreva.99.032106.
2469-9926
2469-9934
10.1103/PhysRevA.99.032106
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