Journal
PROBLEMS OF INFORMATION TRANSMISSION
Volume 44, Issue 2, Pages 73-90Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0032946008020014
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We develop an approximation approach to infinite-dimensional quantum channels based on a detailed investigation of continuity properties of entropic characteristics of quantum channels and operations (trace-nonincreasing completely positive maps) as functions of a pair channel, input state. Obtained results are then applied to the problems of continuity of the chi-capacity as a function of a channel, strong additivity of the chi-capacity for infinite-dimensional channels, and approximating representation for the convex closure of the output entropy of an arbitrary quantum channel.
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