Journal
IZVESTIYA MATHEMATICS
Volume 70, Issue 6, Pages 1265-1292Publisher
TURPION LTD
DOI: 10.1070/IM2006v070n06ABEH002346
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We study the properties of quantum entropy and chi-capacity (regarded as a function of sets of quantum states) in the infinite-dimensional case. We obtain conditions for the boundedness and continuity of the restriction of the entropy to a subset of quantum states, as well as conditions for the existence of the state with maximal entropy in certain subsets. The notion of chi-capacity is considered for an arbitrary subset of states. The existence of an optimal average is proved for an arbitrary subset with finite chi-capacity. We obtain a sufficient condition for the existence of an optimal measure and prove a generalized maximal distance property.
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