Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing

Capela, Matheus; Céleri, Lucas C.; Modi, Kavan; Araújo, Rafael Chaves Souto

Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing

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dc.contributor.author	Capela, Matheus
dc.contributor.author	Céleri, Lucas C.
dc.contributor.author	Modi, Kavan
dc.contributor.author	Araújo, Rafael Chaves Souto
dc.date.accessioned	2020-09-18T13:43:04Z
dc.date.available	2020-09-18T13:43:04Z
dc.date.issued	2020-03-20
dc.description.resumo	The modeling of natural phenomena via a Markov process—a process for which the future is independent of the past, given the present—is ubiquitous in many fields of science. Within this context, it is of foremost importance to develop ways to check from the available empirical data if the underlying mechanism is indeed Markovian. A paradigmatic example is given by data processing inequalities, the violation of which is an unambiguous proof of the non-Markovianity of the process. Here, our aim is twofold. First we show the existence of a monogamy-like type of constraint, beyond data processing, respected by Markov chains. Secondly, we show a connection between the quantification of causality and the violation of both data processing and monogamy inequalities. Apart from its foundational relevance in the study of stochastic processes we also consider the applicability of our results in a typical quantum information setup, showing it can be useful to witness the non-Markovianity arising in a sequence of quantum nonprojective measurements	pt_BR
dc.identifier.citation	CAPELA, Matheus; CÉLERI, Lucas C.; MODI, Kavan; CHAVES, Rafael. Monogamy of temporal correlations: witnessing non-markovianity beyond data processing. Physical Review Research, [S.L.], v. 2, n. 1, p. 013350, 20 mar. 2020. Disponível em: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013350. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physrevresearch.2.013350	pt_BR
dc.identifier.doi	10.1103/physrevresearch.2.013350
dc.identifier.issn	2643-1564
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/30094
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Quantum Channels	pt_BR
dc.subject	Quantum correlations in quantum information	pt_BR
dc.subject	Quantum measurements	pt_BR
dc.subject	Non-Markovian processes	pt_BR
dc.title	Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing	pt_BR
dc.type	article	pt_BR