Quantum Markov monogamy inequalities

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dc.creatorCapela, Matheus
dc.creatorCéleri, Lucas Chibebe
dc.creatorAraújo, Rafael Chaves Souto
dc.creatorModi, Kavan
dc.date.accessioned2024-02-27T12:25:09Z
dc.date.available2024-02-27T12:25:09Z
dc.date.issued2022
dc.description.abstractMarkovianity 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.citationCAPELA, Matheus et al. Quantum Markov monogamy inequalities. Physical Review A, College Park, v. 106, e022218, 2022. DOI: 10.1103/PhysRevA.106.022218. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.022218. Acesso em: 21 fev. 2024.
dc.identifier.doi10.1103/PhysRevA.106.022218
dc.identifier.issn2469-9926
dc.identifier.issne- 2469-9934
dc.identifier.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.022218
dc.language.isoeng
dc.publisher.countryEstados unidos
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.titleQuantum Markov monogamy inequalities
dc.typeArtigo

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