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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 3, Pages 3–21
(Mi ppi2018)
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This article is cited in 18 scientific papers (total in 18 papers)
Information Theory
Mutual and coherent information for infinite-dimensional quantum channels
A. S. Holevo, M. E. Shirokov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
The paper is devoted to the study of quantum mutual information and coherent information, two important characteristics of a quantum communication channel. Appropriate definitions of these quantities in the infinite-dimensional case are given, and their properties are studied in detail. Basic identities relating the quantum mutual information and coherent information of a pair of complementary channels are proved. An unexpected continuity property of the quantum mutual information and coherent information, following from the above identities, is observed. An upper bound for the coherent information is obtained.
Received: 28.01.2010 Revised: 07.06.2010
Citation:
A. S. Holevo, M. E. Shirokov, “Mutual and coherent information for infinite-dimensional quantum channels”, Probl. Peredachi Inf., 46:3 (2010), 3–21; Problems Inform. Transmission, 46:3 (2010), 201–218
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https://www.mathnet.ru/eng/ppi2018 https://www.mathnet.ru/eng/ppi/v46/i3/p3
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Abstract page: | 656 | Full-text PDF : | 118 | References: | 61 | First page: | 13 |
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