Quantifying Bell nonlocality with the trace distance

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 u...

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Principais autores: Brito, Samuraí Gomes de Aguiar, Amaral, B., Araújo, Rafael Chaves Souto
Formato: article
Idioma:English
Publicado em: American Physical Society
Assuntos:
Quantum correlations in quantum information
Quantum entanglement
Quantum nonlocality
Resource theories
Endereço do item:https://repositorio.ufrn.br/handle/123456789/30209
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spelling ri-123456789-302092020-10-04T07:47:26Z Quantifying Bell nonlocality with the trace distance Brito, Samuraí Gomes de Aguiar Amaral, B. Araújo, Rafael Chaves Souto Quantum correlations in quantum information Quantum entanglement Quantum nonlocality Resource theories 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 2020-09-28T13:47:16Z 2020-09-28T13:47:16Z 2018-02-21 article 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. 2469-9926 2469-9934 https://repositorio.ufrn.br/handle/123456789/30209 10.1103/physreva.97.022111. en application/pdf American Physical Society
institution Repositório Institucional
collection RI - UFRN
language English
topic Quantum correlations in quantum information
Quantum entanglement
Quantum nonlocality
Resource theories
spellingShingle Quantum correlations in quantum information
Quantum entanglement
Quantum nonlocality
Resource theories
Brito, Samuraí Gomes de Aguiar
Amaral, B.
Araújo, Rafael Chaves Souto
Quantifying Bell nonlocality with the trace distance
description 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
format article
author Brito, Samuraí Gomes de Aguiar
Amaral, B.
Araújo, Rafael Chaves Souto
author_facet Brito, Samuraí Gomes de Aguiar
Amaral, B.
Araújo, Rafael Chaves Souto
author_sort Brito, Samuraí Gomes de Aguiar
title Quantifying Bell nonlocality with the trace distance
title_short Quantifying Bell nonlocality with the trace distance
title_full Quantifying Bell nonlocality with the trace distance
title_fullStr Quantifying Bell nonlocality with the trace distance
title_full_unstemmed Quantifying Bell nonlocality with the trace distance
title_sort quantifying bell nonlocality with the trace distance
publisher American Physical Society
publishDate 2020
url https://repositorio.ufrn.br/handle/123456789/30209
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