期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 57, 期 4, 页码 2474-2487出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2011.2110050
关键词
alpha-capacities; generalized cutoff rates; Hoeffding distances; one-shot capacities; quantum channels; Renyi relative entropies
资金
- Hungarian Research Grant OTKA [T068258]
- JSPS
- Singapore Ministry of Education
- National Research Foundation as part of the Research Centres of Excellence
- [21540208]
- Grants-in-Aid for Scientific Research [21540208] Funding Source: KAKEN
Following Csiszar's approach in classical information theory, it is shown that the quantum alpha-relative entropies with parameter alpha is an element of (0, 1) can be represented as generalized cutoff rates, and hence a direct operational interpretation of the quantum alpha-relative entropies are provided. It is also shown that various generalizations of the Holevo capacity, defined in terms of the alpha-relative entropies, coincide for the parameter range alpha is an element of (0, 2], and an upper bound on the one-shot epsilon-capacity of a classical- quantum channel in terms of these capacities is given.
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