Device-independent tests of entropy
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
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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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 |
format |
article |
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 |
url |
https://repositorio.ufrn.br/handle/123456789/30399 |
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 |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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