Mutual and coherent informations for infinite-dimensional quantum channels

Details Mutual and coherent informations for infinite-dimensional quantum channels Mutual and coherent informations for infinite-dimensional quantum channels

2010-04-14

arxiv.org/abs/1004.2495v2

Problems of Information Transmission, 2010, V.46, N.3, 201-218

Physics

Mathematical Physics

27 pages, an alternative expression for the coherent information is added (Remark 2)

Scientific paper

The work is devoted to study of quantum mutual information and coherent information -- the two important characteristics of 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 quantum mutual information and coherent information of a pair of complementary channels are proved. An unexpected continuity property of quantum mutual information and coherent information following from the above identities is observed. An upper bound for the coherent information is obtained.

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