Maximal qubit violation of n-locality inequalities in a star-shaped quantum network

Andreoli, Francesco; Carvacho, Gonzalo; Santodonato, Luca; Araújo, Rafael Chaves Souto; Sciarrino, Fabio

Maximal qubit violation of n-locality inequalities in a star-shaped quantum network

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dc.contributor.author	Andreoli, Francesco
dc.contributor.author	Carvacho, Gonzalo
dc.contributor.author	Santodonato, Luca
dc.contributor.author	Araújo, Rafael Chaves Souto
dc.contributor.author	Sciarrino, Fabio
dc.date.accessioned	2020-10-13T15:03:02Z
dc.date.available	2020-10-13T15:03:02Z
dc.date.issued	2017-11-14
dc.description.resumo	Bellʼs theorem was a cornerstone for our understanding of quantum theory and the establishment of Bell non-locality played a crucial role in the development of quantum information. Recently, its extension to complex networks has been attracting growing attention, but a deep characterization of quantum behavior is still missing for this novel context. In this work we analyze quantum correlations arising in the bilocality scenario, that is a tripartite quantum network where the correlations between the parties are mediated by two independent sources of states. First, we prove that non-bilocal correlations witnessed through a Bell-state measurement in the central node of the network form a subset of those obtainable by means of a local projective measurement. This leads us to derive the maximal violation of the bilocality inequality that can be achieved by arbitrary two-qubit quantum states and arbitrary local projective measurements.Wethen analyze in details the relation between the violation of the bilocality inequality and theCHSHinequality. Finally, we show how our method can be extended to the n-locality scenario consisting of n two-qubit quantum states distributed among n + 1nodes of a star-shaped network	pt_BR
dc.identifier.citation	ANDREOLI, Francesco; CARVACHO, Gonzalo; SANTODONATO, Luca; CHAVES, Rafael; SCIARRINO, Fabio. Maximal qubit violation of n-locality inequalities in a star-shaped quantum network. New Journal of Physics, [S.L.], v. 19, n. 11, p. 113020, 14 nov. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1367-2630/aa8b9b. Acesso em: 01 out. 2020. http://dx.doi.org/10.1088/1367-2630/aa8b9b.	pt_BR
dc.identifier.doi	10.1088/1367-2630/aa8b9b
dc.identifier.issn	1678-765X
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30391
dc.language	en	pt_BR
dc.publisher	IOP Publishing	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Generalization of Bellʼs theorem	pt_BR
dc.subject	Non-bilocal correlations	pt_BR
dc.subject	Quantum network	pt_BR
dc.title	Maximal qubit violation of n-locality inequalities in a star-shaped quantum network	pt_BR
dc.type	article	pt_BR