The entropic approach to causal correlations
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/30393 |
Resumo: | The existence of a global causal order between events places constraints on the correlations that parties may share. Such ‘causal correlations’ have been the focus of recent attention, driven by the realization that some extensions of quantum mechanics may violate so-called causal inequalities. In this paper we study causal correlations from an entropic perspective, and we show how to use this framework to derive entropic causal inequalities.Weconsider two different ways to derive such inequalities. Firstly, we consider a method based on the causal Bayesian networks describing the causal relations between the parties. In contrast to the Bell-nonlocality scenario, where this method has previously been shown to be ineffective, we show that it leads to several interesting entropic causal inequalities. Secondly, we consider an alternative method based on counterfactual variables that has previously been used to derive entropic Bell inequalities.Wecompare the inequalities obtained via these two methods and discuss their violation by noncausal correlations. As an application of our approach, we derive bounds on the quantity of information—which is more naturally expressed in the entropic framework—that parties can communicate when operating in a definite causal order |
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Miklin, NikolaiAbbott, Alastair A.Branciard, CyrilAraújo, Rafael Chaves SoutoBudroni, Constantino2020-10-13T15:12:37Z2020-10-13T15:12:37Z2017-11-27MIKLIN, Nikolai; A ABBOTT, Alastair; BRANCIARD, Cyril; CHAVES, Rafael; BUDRONI, Costantino. The entropic approach to causal correlations. New Journal Of Physics, [S.L.], v. 19, n. 11, p. 113041, 28 nov. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1367-2630/aa8f9f. Acesso em: 01 out. 2020. http://dx.doi.org/10.1088/1367-2630/aa8f9f.1367-2630https://repositorio.ufrn.br/handle/123456789/3039310.1088/1367-2630/aa8f9f.IOP PublishingAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessQuantum causalityCausal inequalitiesEntropic inequalitiesQuantum foundationsThe entropic approach to causal correlationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleThe existence of a global causal order between events places constraints on the correlations that parties may share. Such ‘causal correlations’ have been the focus of recent attention, driven by the realization that some extensions of quantum mechanics may violate so-called causal inequalities. In this paper we study causal correlations from an entropic perspective, and we show how to use this framework to derive entropic causal inequalities.Weconsider two different ways to derive such inequalities. Firstly, we consider a method based on the causal Bayesian networks describing the causal relations between the parties. In contrast to the Bell-nonlocality scenario, where this method has previously been shown to be ineffective, we show that it leads to several interesting entropic causal inequalities. Secondly, we consider an alternative method based on counterfactual variables that has previously been used to derive entropic Bell inequalities.Wecompare the inequalities obtained via these two methods and discuss their violation by noncausal correlations. As an application of our approach, we derive bounds on the quantity of information—which is more naturally expressed in the entropic framework—that parties can communicate when operating in a definite causal orderengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALEntropicApproach_ARAUJO_2017.pdfEntropicApproach_ARAUJO_2017.pdfArtigoapplication/pdf973383https://repositorio.ufrn.br/bitstream/123456789/30393/1/EntropicApproach_ARAUJO_2017.pdf30d7b394b68b6bb8c3247163e0be0dfeMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/30393/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30393/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTEntropicApproach_ARAUJO_2017.pdf.txtEntropicApproach_ARAUJO_2017.pdf.txtExtracted texttext/plain102184https://repositorio.ufrn.br/bitstream/123456789/30393/4/EntropicApproach_ARAUJO_2017.pdf.txt03bd6287a269c7970e4db8be26f98cbeMD54THUMBNAILEntropicApproach_ARAUJO_2017.pdf.jpgEntropicApproach_ARAUJO_2017.pdf.jpgGenerated Thumbnailimage/jpeg1209https://repositorio.ufrn.br/bitstream/123456789/30393/5/EntropicApproach_ARAUJO_2017.pdf.jpg48de1320632fae65aff59eee85650bd9MD55123456789/303932020-10-18 04:53:50.893oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-18T07:53:50Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
The entropic approach to causal correlations |
title |
The entropic approach to causal correlations |
spellingShingle |
The entropic approach to causal correlations Miklin, Nikolai Quantum causality Causal inequalities Entropic inequalities Quantum foundations |
title_short |
The entropic approach to causal correlations |
title_full |
The entropic approach to causal correlations |
title_fullStr |
The entropic approach to causal correlations |
title_full_unstemmed |
The entropic approach to causal correlations |
title_sort |
The entropic approach to causal correlations |
author |
Miklin, Nikolai |
author_facet |
Miklin, Nikolai Abbott, Alastair A. Branciard, Cyril Araújo, Rafael Chaves Souto Budroni, Constantino |
author_role |
author |
author2 |
Abbott, Alastair A. Branciard, Cyril Araújo, Rafael Chaves Souto Budroni, Constantino |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Miklin, Nikolai Abbott, Alastair A. Branciard, Cyril Araújo, Rafael Chaves Souto Budroni, Constantino |
dc.subject.por.fl_str_mv |
Quantum causality Causal inequalities Entropic inequalities Quantum foundations |
topic |
Quantum causality Causal inequalities Entropic inequalities Quantum foundations |
description |
The existence of a global causal order between events places constraints on the correlations that parties may share. Such ‘causal correlations’ have been the focus of recent attention, driven by the realization that some extensions of quantum mechanics may violate so-called causal inequalities. In this paper we study causal correlations from an entropic perspective, and we show how to use this framework to derive entropic causal inequalities.Weconsider two different ways to derive such inequalities. Firstly, we consider a method based on the causal Bayesian networks describing the causal relations between the parties. In contrast to the Bell-nonlocality scenario, where this method has previously been shown to be ineffective, we show that it leads to several interesting entropic causal inequalities. Secondly, we consider an alternative method based on counterfactual variables that has previously been used to derive entropic Bell inequalities.Wecompare the inequalities obtained via these two methods and discuss their violation by noncausal correlations. As an application of our approach, we derive bounds on the quantity of information—which is more naturally expressed in the entropic framework—that parties can communicate when operating in a definite causal order |
publishDate |
2017 |
dc.date.issued.fl_str_mv |
2017-11-27 |
dc.date.accessioned.fl_str_mv |
2020-10-13T15:12:37Z |
dc.date.available.fl_str_mv |
2020-10-13T15:12:37Z |
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 |
MIKLIN, Nikolai; A ABBOTT, Alastair; BRANCIARD, Cyril; CHAVES, Rafael; BUDRONI, Costantino. The entropic approach to causal correlations. New Journal Of Physics, [S.L.], v. 19, n. 11, p. 113041, 28 nov. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1367-2630/aa8f9f. Acesso em: 01 out. 2020. http://dx.doi.org/10.1088/1367-2630/aa8f9f. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30393 |
dc.identifier.issn.none.fl_str_mv |
1367-2630 |
dc.identifier.doi.none.fl_str_mv |
10.1088/1367-2630/aa8f9f. |
identifier_str_mv |
MIKLIN, Nikolai; A ABBOTT, Alastair; BRANCIARD, Cyril; CHAVES, Rafael; BUDRONI, Costantino. The entropic approach to causal correlations. New Journal Of Physics, [S.L.], v. 19, n. 11, p. 113041, 28 nov. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1367-2630/aa8f9f. Acesso em: 01 out. 2020. http://dx.doi.org/10.1088/1367-2630/aa8f9f. 1367-2630 10.1088/1367-2630/aa8f9f. |
url |
https://repositorio.ufrn.br/handle/123456789/30393 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
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Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
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openAccess |
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IOP Publishing |
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IOP Publishing |
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