Geodesic
Entropy characteristics of subsets of states. II
Izvestiya. Mathematics , Tome 71 (2007) no. 1, pp. 181-218

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We study properties of the $\chi$-capacity (regarded as a function of sets of quantum states) in the infinite-dimensional case. We consider various subsets of states and determine their $\chi$-capacity and optimal average. We construct counterexamples that illustrate general results. The possibility of “finite-dimensional approximations” of the $\chi$-capacity and optimal average is shown for an arbitrary set of quantum states. 
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     author = {M. E. Shirokov},
     title = {Entropy characteristics of subsets of states. {II}},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2007_71_1_a8/}
}
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M. E. Shirokov. Entropy characteristics of subsets of states. II. Izvestiya. Mathematics , Tome 71 (2007) no. 1, pp. 181-218. http://geodesic.mathdoc.fr/item/IM2_2007_71_1_a8/