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Article: Characterizing the performance of xor games and the Shannon capacity of graphs

TitleCharacterizing the performance of xor games and the Shannon capacity of graphs
Authors
Issue Date2014
Citation
Physical Review Letters, 2014, v. 113, n. 24, article no. 240401 How to Cite?
Abstract© 2014 American Physical Society. In this Letter we give a set of necessary and sufficient conditions such that quantum players of a two-party xor game cannot perform any better than classical players. With any such game, we associate a graph and examine its zero-error communication capacity. This allows us to specify a broad new class of graphs for which the Shannon capacity can be calculated. The conditions also enable the parametrization of new families of games that have no quantum advantage for arbitrary input probability distributions, up to certain symmetries. In the future, these might be used in information-theoretic studies on reproducing the set of quantum nonlocal correlations.
Persistent Identifierhttp://hdl.handle.net/10722/277012
ISSN
2017 Impact Factor: 8.839
2015 SCImago Journal Rankings: 3.731

 

DC FieldValueLanguage
dc.contributor.authorRamanathan, Ravishankar-
dc.contributor.authorKay, Alastair-
dc.contributor.authorMurta, Gláucia-
dc.contributor.authorHorodecki, Paweł-
dc.date.accessioned2019-09-18T08:35:20Z-
dc.date.available2019-09-18T08:35:20Z-
dc.date.issued2014-
dc.identifier.citationPhysical Review Letters, 2014, v. 113, n. 24, article no. 240401-
dc.identifier.issn0031-9007-
dc.identifier.urihttp://hdl.handle.net/10722/277012-
dc.description.abstract© 2014 American Physical Society. In this Letter we give a set of necessary and sufficient conditions such that quantum players of a two-party xor game cannot perform any better than classical players. With any such game, we associate a graph and examine its zero-error communication capacity. This allows us to specify a broad new class of graphs for which the Shannon capacity can be calculated. The conditions also enable the parametrization of new families of games that have no quantum advantage for arbitrary input probability distributions, up to certain symmetries. In the future, these might be used in information-theoretic studies on reproducing the set of quantum nonlocal correlations.-
dc.languageeng-
dc.relation.ispartofPhysical Review Letters-
dc.titleCharacterizing the performance of xor games and the Shannon capacity of graphs-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevLett.113.240401-
dc.identifier.scopuseid_2-s2.0-84918587123-
dc.identifier.volume113-
dc.identifier.issue24-
dc.identifier.spagearticle no. 240401-
dc.identifier.epagearticle no. 240401-
dc.identifier.eissn1079-7114-

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