Device-independent tests of entropy

Detalhes bibliográficos
Autor(a) principal: Araújo, Rafael Chaves Souto
Data de Publicação: 2015
Outros Autores: Brask, Jonatan Bohr, Brunner, Nicolas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30399
Resumo: We show that the entropy of a message can be tested in a device-independent way. Specifically, we consider a prepare-and-measure scenario with classical or quantum communication, and develop two different methods for placing lower bounds on the communication entropy, given observable data. The first method is based on the framework of causal inference networks. The second technique, based on convex optimization, shows that quantum communication provides an advantage over classical communication, in the sense of requiring a lower entropy to reproduce given data. These ideas may serve as a basis for novel applications in device-independent quantum information processing
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spelling Araújo, Rafael Chaves SoutoBrask, Jonatan BohrBrunner, Nicolas2020-10-13T18:43:19Z2020-10-13T18:43:19Z2015-09-08CHAVES, Rafael; BRASK, Jonatan Bohr; BRUNNER, Nicolas. Device-Independent Tests of Entropy. Physical Review Letters, [S.L.], v. 115, n. 11, p. 110501, 8 set. 2015. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.110501. Acesso em: 04 out. 2020 http://dx.doi.org/10.1103/physrevlett.115.110501.0031-90071079-7114https://repositorio.ufrn.br/handle/123456789/3039910.1103/PhysRevLett.115.110501American Physical SocietyEntropyQuantum communicationQuantum communicationDevice-independent tests of entropyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe show that the entropy of a message can be tested in a device-independent way. Specifically, we consider a prepare-and-measure scenario with classical or quantum communication, and develop two different methods for placing lower bounds on the communication entropy, given observable data. The first method is based on the framework of causal inference networks. The second technique, based on convex optimization, shows that quantum communication provides an advantage over classical communication, in the sense of requiring a lower entropy to reproduce given data. These ideas may serve as a basis for novel applications in device-independent quantum information processingengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALDevice-IndependentTests_ARAUJO_2015.pdfDevice-IndependentTests_ARAUJO_2015.pdfArtigoapplication/pdf381530https://repositorio.ufrn.br/bitstream/123456789/30399/1/Device-IndependentTests_ARAUJO_2015.pdf0cfb78635c9bf9bdac15a1c1b3e71374MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30399/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTDevice-IndependentTests_ARAUJO_2015.pdf.txtDevice-IndependentTests_ARAUJO_2015.pdf.txtExtracted texttext/plain26405https://repositorio.ufrn.br/bitstream/123456789/30399/3/Device-IndependentTests_ARAUJO_2015.pdf.txt3755816f1bb5adfffe5378a686f62746MD53THUMBNAILDevice-IndependentTests_ARAUJO_2015.pdf.jpgDevice-IndependentTests_ARAUJO_2015.pdf.jpgGenerated Thumbnailimage/jpeg1823https://repositorio.ufrn.br/bitstream/123456789/30399/4/Device-IndependentTests_ARAUJO_2015.pdf.jpg777427080f4981dad49f515d7e0d0342MD54123456789/303992020-10-18 04:53:56.71oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-18T07:53:56Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Device-independent tests of entropy
title Device-independent tests of entropy
spellingShingle Device-independent tests of entropy
Araújo, Rafael Chaves Souto
Entropy
Quantum communication
Quantum communication
title_short Device-independent tests of entropy
title_full Device-independent tests of entropy
title_fullStr Device-independent tests of entropy
title_full_unstemmed Device-independent tests of entropy
title_sort Device-independent tests of entropy
author Araújo, Rafael Chaves Souto
author_facet Araújo, Rafael Chaves Souto
Brask, Jonatan Bohr
Brunner, Nicolas
author_role author
author2 Brask, Jonatan Bohr
Brunner, Nicolas
author2_role author
author
dc.contributor.author.fl_str_mv Araújo, Rafael Chaves Souto
Brask, Jonatan Bohr
Brunner, Nicolas
dc.subject.por.fl_str_mv Entropy
Quantum communication
Quantum communication
topic Entropy
Quantum communication
Quantum communication
description We show that the entropy of a message can be tested in a device-independent way. Specifically, we consider a prepare-and-measure scenario with classical or quantum communication, and develop two different methods for placing lower bounds on the communication entropy, given observable data. The first method is based on the framework of causal inference networks. The second technique, based on convex optimization, shows that quantum communication provides an advantage over classical communication, in the sense of requiring a lower entropy to reproduce given data. These ideas may serve as a basis for novel applications in device-independent quantum information processing
publishDate 2015
dc.date.issued.fl_str_mv 2015-09-08
dc.date.accessioned.fl_str_mv 2020-10-13T18:43:19Z
dc.date.available.fl_str_mv 2020-10-13T18:43:19Z
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 CHAVES, Rafael; BRASK, Jonatan Bohr; BRUNNER, Nicolas. Device-Independent Tests of Entropy. Physical Review Letters, [S.L.], v. 115, n. 11, p. 110501, 8 set. 2015. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.110501. Acesso em: 04 out. 2020 http://dx.doi.org/10.1103/physrevlett.115.110501.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30399
dc.identifier.issn.none.fl_str_mv 0031-9007
1079-7114
dc.identifier.doi.none.fl_str_mv 10.1103/PhysRevLett.115.110501
identifier_str_mv CHAVES, Rafael; BRASK, Jonatan Bohr; BRUNNER, Nicolas. Device-Independent Tests of Entropy. Physical Review Letters, [S.L.], v. 115, n. 11, p. 110501, 8 set. 2015. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.110501. Acesso em: 04 out. 2020 http://dx.doi.org/10.1103/physrevlett.115.110501.
0031-9007
1079-7114
10.1103/PhysRevLett.115.110501
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dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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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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