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Izvestiya: Mathematics, 2007, Volume 71, Issue 1, Pages 181–218
DOI: https://doi.org/10.1070/IM2007v071n01ABEH002354 (Mi im731) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Entropy characteristics of subsets of states. II

M. E. Shirokovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
English version PDF (612 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2007v071n01ABEH002354
Abstract: 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.
Received: 23.12.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 1, Pages 187–224
DOI: https://doi.org/10.4213/im731
Bibliographic databases:
Document Type: Article
UDC: 519.772
MSC: 62B10, 81P68, 94A40
Language: English
Original paper language: Russian
Citation: M. E. Shirokov, “Entropy characteristics of subsets of states. II”, Izv. RAN. Ser. Mat., 71:1 (2007), 187–224; Izv. Math., 71:1 (2007), 181–218
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2007v071n01ABEH002354
  • https://www.mathnet.ru/eng/im/v71/i1/p187
    Cycle of papers
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:557
    Russian version PDF:190
    English version PDF:19
    References:91
    First page:2
     
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