Quantum Markov monogamy inequalities

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dc.contributor.authorAraújo, Rafael Chaves Souto
dc.contributor.authorCéleri, Lucas Chibebe
dc.contributor.authorCapela, Matheus
dc.contributor.authorModi, Kavan
dc.date.accessioned2025-05-28T18:53:51Z
dc.date.available2025-05-28T18:53:51Z
dc.date.issued2022-08-29
dc.description.resumoMarkovianity lies at the heart of communication problems. This in turn makes the information-theoretic characterization of Markov processes worthwhile. Data-processing inequalities are ubiquitous in this sense, assigning necessary conditions for all Markov processes. We address here the problem of the information-theoretic analysis of constraints on Markov processes in the quantum regime. We show the existence of a class of quantum data-processing inequalities called here quantum Markov monogamy inequalities. This class of necessary conditions on quantum Markov processes is inspired by its counterpart for classical Markov processes, thus providing a strong link between classical and quantum constraints on Markovianity. We go on to construct a family of multitime quantum Markov monogamy inequalities, based on the process tensor formalism and that exploits multitime correlations. We then show, by means of an explicit example, that the Markov monogamy inequalities can be stronger than the usual quantum data-processing inequalities
dc.identifier.citationARAUJO, Rafael Chaves Souto; CAPELA, Matheus; CÉLERI, Lucas Chibebe; MODI, Kavan. Quantum Markov monogamy inequalities. Physical Review A, v. 106, p. 022218, 2022. DOI 10.1103/PhysRevA.106.022218. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.022218. Acesso em: 18 mar. 2025.
dc.identifier.doi10.1103/PhysRevA.106.022218
dc.identifier.issn2469-9934
dc.identifier.otherDOI 10.1103/PhysRevA.106.022218
dc.identifier.urihttps://repositorio.ufrn.br/handle/123456789/63710
dc.languageenpt_BR
dc.language.isoen
dc.publisherPhysical Review Apt_BR
dc.subjectQuantum channelspt_BR
dc.subjectCanais quânticospt_BR
dc.subjectOpen quantum systems & decoherencept_BR
dc.subjectSistemas quânticos abertos e decoerênciapt_BR
dc.titleQuantum Markov monogamy inequalities
dc.typearticlept_BR

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