Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) Russian version article
References:
PDF
HTML
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
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. Math., 71:1 (2007), 181–218
Citation in format AMSBIB
\Bibitem{Shi07}
\by M.~E.~Shirokov
\paper Entropy characteristics of subsets of states. II
\jour Izv. Math.
\yr 2007
\vol 71
\issue 1
\pages 181--218
\mathnet{http://mi.mathnet.ru//eng/im731}
\crossref{https://doi.org/10.1070/IM2007v071n01ABEH002354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2477278}
\zmath{https://zbmath.org/?q=an:1136.82308}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246660400008}
\elib{https://elibrary.ru/item.asp?id=9450961}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249805711}
Linking options:
  • https://www.mathnet.ru/eng/im731
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:565
    Russian version PDF:190
    English version PDF:21
    References:93
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024