Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2011.2110050
Title: On the quantum Rényi relative entropies and related capacity formulas
Authors: Mosonyi, M. 
Hiai, F.
Keywords: α-capacities
generalized cutoff rates
Hoeffding distances
one-shot capacities
quantum channels
Rényi relative entropies
Issue Date: Apr-2011
Citation: Mosonyi, M., Hiai, F. (2011-04). On the quantum Rényi relative entropies and related capacity formulas. IEEE Transactions on Information Theory 57 (4) : 2474-2487. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2011.2110050
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. © 2011 IEEE.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/116495
ISSN: 00189448
DOI: 10.1109/TIT.2011.2110050
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