Quantifying Bell nonlocality with the trace distance

Brito, Samuraí Gomes de Aguiar; Amaral, B.; Araújo, Rafael Chaves Souto

Quantifying Bell nonlocality with the trace distance

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dc.contributor.author	Brito, Samuraí Gomes de Aguiar
dc.contributor.author	Amaral, B.
dc.contributor.author	Araújo, Rafael Chaves Souto
dc.date.accessioned	2020-09-28T13:47:16Z
dc.date.available	2020-09-28T13:47:16Z
dc.date.issued	2018-02-21
dc.description.resumo	Measurements performed on distant parts of an entangled quantum state can generate correlations incompatible with classical theories respecting the assumption of local causality. This is the phenomenon known as quantum nonlocality that, apart from its fundamental role, can also be put to practical use in applications such as cryptography and distributed computing. Clearly, developing ways of quantifying nonlocality is an important primitive in this scenario. Here, we propose to quantify the nonlocality of a given probability distribution via its trace distance to the set of classical correlations. We show that this measure is a monotone under the free operations of a resource theory and, furthermore, that it can be computed efficiently with a linear program. We put our framework to use in a variety of relevant Bell scenarios also comparing the trace distance to other standard measures in the literature	pt_BR
dc.identifier.citation	BRITO, S. G. A.; AMARAL, B.; CHAVES, R.. Quantifying Bell nonlocality with the trace distance. Physical Review A, [S.L.], v. 97, n. 2, p. 022111, 21 fev. 2018. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.022111. Acesso em: 16 set. 2020. http://dx.doi.org/10.1103/physreva.97.022111.	pt_BR
dc.identifier.doi	10.1103/physreva.97.022111.
dc.identifier.issn	2469-9926
dc.identifier.issn	2469-9934
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30209
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.subject	Quantum correlations in quantum information	pt_BR
dc.subject	Quantum entanglement	pt_BR
dc.subject	Quantum nonlocality	pt_BR
dc.subject	Resource theories	pt_BR
dc.title	Quantifying Bell nonlocality with the trace distance	pt_BR
dc.type	article	pt_BR