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  1. Sep 12, 2023to the quantum state space: the R´enyi relative entropy,6 the sandwiched R´enyi relative entropy7 and the α-z-R´enyi relative entropies.4 By exploiting its properties, we obtain the main result of the paper which we shall refer to as the Holevo-R´enyi inequality, leading to a bound for the α-mutual information.8 This result provides
  2. semanticscholar.org

    This work establishes the Holevo-R\\'enyi inequality, which leads to a quantum bound for the $\\alpha$-mutual information, suggesting new insights into communication channel performance and the fundamental limits for reliability functions in memoryless multi-letter communication channels. We investigate bounds in the transmission of classical information through quantum systems. Our focus lies ...
  3. researchgate.net

    We investigate bounds in the transmission of classical information through quantum systems. Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality ...
  4. ri.conicet.gov.ar

    Through the introduction of the α-z-R´enyi relative entropies, which comprise known relevant quantities such as the R´enyi relative entropy and the sandwiched R´enyi relative entropy, we establish the Holevo-R´enyi inequality. This result leads to a quantum bound for the α-mutual information, suggesting new insights into communication ...
  5. worldscientific.com

    Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality from arbitrary quantum distance measures. Through the introduction of the α - z -Rényi relative entropies, which comprise known relevant quantities such as the Rényi relative entropy and the sandwiched Rényi relative entropy, we establish ...
  6. inspirehep.net

    Aug 7, 2024Rényi-Holevo inequality from α-z-Rényi relative entropies. ... Quasi-entropies for finite quantum systems. Dénes Petz. Rept.Math.Phys. 23 (1986) 1, 57-65 • DOI: 10.1016/0034-4877(86)90067-4; edit [7] Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Renyi Relative Entropy.
  7. semanticscholar.org

    A two-parameter family of Renyi relative entropies Dα,z(ρ ∥ σ) that are quantum generalisations of the classical Renyi divergence Dα(p ∥ q) are considered, obtaining explicit formulas for each one of them. We consider a two-parameter family of Renyi relative entropies Dα,z(ρ ∥ σ) that are quantum generalisations of the classical Renyi divergence Dα(p ∥ q). This family includes ...
  8. bicyt.conicet.gov.ar

    Articulo. Título: Renyi-Holevo Inequality from ?- z -Renyi Relative Entropies. Resumen: We investigate bounds in the transmission of classical information through quantum systems. Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality from arbitrary quantum distance measures. Through the introduction of the ?-z-R´enyi relative entropies ...

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