Generalized relative entropies and the capacity of classical-quantum channels

DOI10.1063/1.3167288zbMath1284.94037arXiv0810.3478OpenAlexW3104006593WikidataQ62125613 ScholiaQ62125613MaRDI QIDQ3069136

Nilanjana Datta, Milán Mosonyi

Publication date: 24 January 2011

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

Full work available at URL: https://arxiv.org/abs/0810.3478

zbMATH Keywords

entropyquantum theoryprobabilityHilbert spacesquantum communicationone-shot capacityclassical-quantum channelHoeffding distancemaxrelative entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24)

Related Items

Semantic security for quantum wiretap channels, Unnamed Item, Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination, Min- and max-entropy in infinite dimensions, Second-order asymptotics for quantum hypothesis testing, Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states, On quantum Rényi entropies: A new generalization and some properties, Base norms and discrimination of generalized quantum channels, The quantum reverse Shannon theorem based on one-shot information theory, Applications of position-based coding to classical communication over quantum channels, Universal random codes: capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender

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