On the quantum Renyi relative entropies and related capacity formulas

M Mosonyi, F Hiai

Research output: Contribution to journalArticle (Academic Journal)peer-review

71 Citations (Scopus)

Abstract

Following Csiszár's approach in classical information theory, it is shown that the quantum α-relative entropies with parameter α ∈ (0,1) can be represented as generalized cutoff rates, and hence a direct operational interpretation of the quantum α-relative entropies are provided. It is also shown that various generalizations of the Holevo capacity, defined in terms of the α-relative entropies, coincide for the parameter range α ∈ (0,2], and an upper bound on the one-shot ε-capacity of a classical-quantum channel in terms of these capacities is given.
Translated title of the contributionOn the quantum Renyi relative entropies and related capacity formulas
Original languageEnglish
Pages (from-to)2474 - 2487
Number of pages14
JournalIEEE Transactions on Information Theory
Volume57, issue 4
DOIs
Publication statusPublished - Apr 2011

Bibliographical note

Publisher: IEEE

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