Bounding generalized relative entropies: nonasymptotic quantum speed limits

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dc.creatorPires, Diego Paiva
dc.creatorModi, Kavan
dc.creatorCéleri, Lucas Chibebe
dc.date.accessioned2024-02-27T12:20:44Z
dc.date.available2024-02-27T12:20:44Z
dc.date.issued2021
dc.description.abstractInformation theory has become an increasingly important research field to better understand quantum mechanics. Noteworthy, it covers both foundational and applied perspectives, also offering a common technical language to study a variety of research areas. Remarkably, one of the key information-theoretic quantities is given by the relative entropy, which quantifies how difficult is to tell apart two probability distributions, or even two quantum states. Such a quantity rests at the core of fields like metrology, quantum thermodynamics, quantum communication, and quantum information. Given this broadness of applications, it is desirable to understand how this quantity changes under a quantum process. By considering a general unitary channel, we establish a bound on the generalized relative entropies (Rényi and Tsallis) between the output and the input of the channel. As an application of our bounds, we derive a family of quantum speed limits based on relative entropies. Possible connections between this family with thermodynamics, quantum coherence, asymmetry, and single-shot information theory are briefly discussed.
dc.identifier.citationPIRES, Diego Paiva; MODI, Kavan; CÉLERI, Lucas Chibebe. Bounding generalized relative entropies: nonasymptotic quantum speed limits. Physical Review E, College Park, v. 103, e032105, 2021. DOI: 10.1103/PhysRevE.103.032105. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.032105. Acesso em: 21 fev. 2024.
dc.identifier.doi10.1103/PhysRevE.103.032105
dc.identifier.issn2470-0045
dc.identifier.issne- 2470-0053
dc.identifier.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.032105
dc.language.isoeng
dc.publisher.countryEstados unidos
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.titleBounding generalized relative entropies: nonasymptotic quantum speed limits
dc.typeArtigo

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