Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels

DOI10.1063/1.4987135zbMath1373.81431arXiv1512.09047OpenAlexW3106241554MaRDI QIDQ4592875

M. E. Shirokov

Publication date: 9 November 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09047

Mathematics Subject Classification ID

Atomic physics (81V45) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

Convergence rates for the quantum central limit theorem, Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use, Optimal uniform continuity bound for conditional entropy of classical-quantum states, Upper bounds for the Holevo information quantity and their use, On the energy-constrained diamond norm and its application in quantum information theory, Quantum information theory in infinite dimensions with application to optical channels, Universal superposition codes: Capacity regions of compound quantum broadcast channel with confidential messages, Maximum and minimum entropy states yielding local continuity bounds, Uniform finite-dimensional approximation of basic capacities of energy-constrained channels, Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use, Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy, Lower estimates for distances from a given quantum channel to certain classes of Quantum channels

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