The entropic approach to causal correlations

Miklin, Nikolai; Abbott, Alastair A.; Branciard, Cyril; Araújo, Rafael Chaves Souto; Budroni, Constantino

The entropic approach to causal correlations

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dc.contributor.author	Miklin, Nikolai
dc.contributor.author	Abbott, Alastair A.
dc.contributor.author	Branciard, Cyril
dc.contributor.author	Araújo, Rafael Chaves Souto
dc.contributor.author	Budroni, Constantino
dc.date.accessioned	2020-10-13T15:12:37Z
dc.date.available	2020-10-13T15:12:37Z
dc.date.issued	2017-11-27
dc.description.resumo	The existence of a global causal order between events places constraints on the correlations that parties may share. Such ‘causal correlations’ have been the focus of recent attention, driven by the realization that some extensions of quantum mechanics may violate so-called causal inequalities. In this paper we study causal correlations from an entropic perspective, and we show how to use this framework to derive entropic causal inequalities.Weconsider two different ways to derive such inequalities. Firstly, we consider a method based on the causal Bayesian networks describing the causal relations between the parties. In contrast to the Bell-nonlocality scenario, where this method has previously been shown to be ineffective, we show that it leads to several interesting entropic causal inequalities. Secondly, we consider an alternative method based on counterfactual variables that has previously been used to derive entropic Bell inequalities.Wecompare the inequalities obtained via these two methods and discuss their violation by noncausal correlations. As an application of our approach, we derive bounds on the quantity of information—which is more naturally expressed in the entropic framework—that parties can communicate when operating in a definite causal order	pt_BR
dc.identifier.citation	MIKLIN, Nikolai; A ABBOTT, Alastair; BRANCIARD, Cyril; CHAVES, Rafael; BUDRONI, Costantino. The entropic approach to causal correlations. New Journal Of Physics, [S.L.], v. 19, n. 11, p. 113041, 28 nov. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1367-2630/aa8f9f. Acesso em: 01 out. 2020. http://dx.doi.org/10.1088/1367-2630/aa8f9f.	pt_BR
dc.identifier.doi	10.1088/1367-2630/aa8f9f.
dc.identifier.issn	1367-2630
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30393
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	Quantum causality	pt_BR
dc.subject	Causal inequalities	pt_BR
dc.subject	Entropic inequalities	pt_BR
dc.subject	Quantum foundations	pt_BR
dc.title	The entropic approach to causal correlations	pt_BR
dc.type	article	pt_BR