Unifying framework for relaxations of the causal assumptions in Bell’s theorem

Araújo, Rafael Chaves Souto; Kueng, R.; Brask, Jonatan Bohr; Gross, David

Unifying framework for relaxations of the causal assumptions in Bell’s theorem

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dc.contributor.author	Araújo, Rafael Chaves Souto
dc.contributor.author	Kueng, R.
dc.contributor.author	Brask, Jonatan Bohr
dc.contributor.author	Gross, David
dc.date.accessioned	2020-10-14T14:57:16Z
dc.date.available	2020-10-14T14:57:16Z
dc.date.issued	2015-04-07
dc.description.resumo	Bell’s theorem shows that quantum mechanical correlations can violate the constraints that the causal structure of certain experiments impose on any classical explanation. It is thus natural to ask to which degree the causal assumptions—e.g., locality or measurement independence—have to be relaxed in order to allow for a classical description of such experiments. Here we develop a conceptual and computational framework for treating this problem. We employ the language of Bayesian networks to systematically construct alternative causal structures and bound the degree of relaxation using quantitative measures that originate from the mathematical theory of causality. The main technical insight is that the resulting problems can often be expressed as computationally tractable linear programs. We demonstrate the versatility of the framework by applying it to a variety of scenarios, ranging from relaxations of the measurement independence, locality, and bilocality assumptions, to a novel causal interpretation of Clauser-Horne-Shimony-Holt inequality violations	pt_BR
dc.identifier.citation	CHAVES, R.; KUENG, R.; BRASK, J. B.; GROSS, D.. Unifying framework for relaxations of the causal assumptions in Bell’s theorem. Physical Review Letters, [S.L.], v. 114, n. 14, p. 140403, 7 abr. 2015. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.140403. Acesso em: 04 out. 2020. http://dx.doi.org/10.1103/physrevlett.114.140403.	pt_BR
dc.identifier.doi	10.1103/physrevlett.114.140403
dc.identifier.issn	0031-9007
dc.identifier.issn	1079-7114
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30410
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.subject	Bell’s theorem	pt_BR
dc.subject	Mathematical theory of causality	pt_BR
dc.title	Unifying framework for relaxations of the causal assumptions in Bell’s theorem	pt_BR
dc.type	article	pt_BR