Information–theoretic implications of quantum causal structures

Araújo, Rafael Chaves Souto; Majenz, Christian; Gross, David

Information–theoretic implications of quantum causal structures

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dc.contributor.author	Araújo, Rafael Chaves Souto
dc.contributor.author	Majenz, Christian
dc.contributor.author	Gross, David
dc.date.accessioned	2020-10-14T14:40:33Z
dc.date.available	2020-10-14T14:40:33Z
dc.date.issued	2015-01-06
dc.description.resumo	It is a relatively new insight of classical statistics that empirical data can contain information about causation rather than mere correlation. First algorithms have been proposed that are capable of testing whether a presumed causal relationship is compatible with an observed distribution. However, no systematic method is known for treating such problems in a way that generalizes to quantum systems. Here, we describe a general algorithm for computing information–theoretic constraints on the correlations that can arise from a given causal structure, where we allow for quantum systems as well as classical random variables. The general technique is applied to two relevant cases: first, we show that the principle of information causality appears naturally in our framework and go on to generalize and strengthen it. Second, we derive bounds on the correlations that can occur in a networked architecture, where a set of few-body quantum systems is distributed among some parties	pt_BR
dc.identifier.citation	CHAVES, Rafael; MAJENZ, Christian; GROSS, David. Information–theoretic implications of quantum causal structures. Nature Communications, [S.L.], v. 6, n. 1, p. 5766, 6 jan. 2015. Disponível em: https://www.nature.com/articles/ncomms6766. Acesso em: 04 out. 2020. http://dx.doi.org/10.1038/ncomms6766.	pt_BR
dc.identifier.doi	10.1038/ncomms6766
dc.identifier.issn	2041-1723
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30409
dc.language	en	pt_BR
dc.publisher	Nature Research	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Networked architecture	pt_BR
dc.subject	Quantum system	pt_BR
dc.title	Information–theoretic implications of quantum causal structures	pt_BR
dc.type	article	pt_BR