Geometry of the quantum set on no-signaling faces
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
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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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 |
format |
article |
status_str |
publishedVersion |
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. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/30123 |
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 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/30123 |
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.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
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