On approximation of infinite-dimensional quantum channels
Problems of Information Transmission
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
The private classical capacity and quantum capacity of a quantum channel
IEEE Transactions on Information Theory
On classical capacities of infinite-dimensional quantum channels
Problems of Information Transmission
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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.