Bell nonlocality using tensor networks and sparse recovery

Eliëns, Ian Sebastiaan; Brito, S. G. A.; Araújo, Rafael Chaves Souto

Bell nonlocality using tensor networks and sparse recovery

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dc.contributor.author	Eliëns, Ian Sebastiaan
dc.contributor.author	Brito, S. G. A.
dc.contributor.author	Araújo, Rafael Chaves Souto
dc.date.accessioned	2020-09-18T14:01:08Z
dc.date.available	2020-09-18T14:01:08Z
dc.date.issued	2020-05-20
dc.description.resumo	Bell’s theorem, stating that quantum predictions are incompatible with a local hidden variable description, is a cornerstone of quantum theory and at the center of many quantum information processing protocols. Over the years, different perspectives on nonlocality have been put forward as well as different ways to detect nonlocality and quantify it. Unfortunately, and in spite of its relevance, as the complexity of the Bell scenario increases, deciding whether a given observed correlation is nonlocal becomes computationally intractable. Here, we propose to analyze a Bell scenario as a tensor network, a perspective permitting us to test and quantify nonlocality, resorting to very efficient algorithms originating from compressed sensing and that offer a significant speedup in comparison with standard linear programming methods. We use that all nonsignaling correlations can be described by hidden variable models governed by a quasiprobability, a fact we prove with simple linear algebra methods	pt_BR
dc.identifier.citation	ELIËNS, I. S.; BRITO, S. G. A.; CHAVES, R.. Bell nonlocality using tensor networks and sparse recovery. Physical Review Research, [S.L.], v. 2, n. 2, p. 023198, 20 maio 2020. Disponível em: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.023198. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physrevresearch.2.023198.	pt_BR
dc.identifier.doi	10.1103/physrevresearch.2.023198
dc.identifier.issn	2643-1564
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/30095
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Quantum entanglement	pt_BR
dc.subject	Quantum nonlocality	pt_BR
dc.title	Bell nonlocality using tensor networks and sparse recovery	pt_BR
dc.type	article	pt_BR