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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 2, Pages 9–25 (Mi ppi92)  
This article is cited in 9 scientific papers (total in 9 papers)

Information Theory

On a Sufficient Additivity Condition in Quantum Information Theory

N. Dattaa, A. S. Holevob, Yu. M. Sukhova

a Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1293 kB) Citations (9)
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Abstract: In this paper we give a sufficient condition for additivity of the minimum output entropy for a pair of given channels and an analytic verification of this condition for specific quantum channels breaking a closely related multiplicativity property [1, 2]. This yields validity of the additivity conjecture for these channels, a result obtained by a different method in [3]. Our proof relies heavily upon certain concavity properties of the output entropy, which are of independent interest.
Received: 06.09.2004
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 2, Pages 76–90
DOI: https://doi.org/10.1007/s11122-005-0013-7
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: N. Datta, A. S. Holevo, Yu. M. Sukhov, “On a Sufficient Additivity Condition in Quantum Information Theory”, Probl. Peredachi Inf., 41:2 (2005), 9–25; Problems Inform. Transmission, 41:2 (2005), 76–90
Citation in format AMSBIB
\Bibitem{DatHolSuk05}
\by N.~Datta, A.~S.~Holevo, Yu.~M.~Sukhov
\paper On a Sufficient Additivity Condition in Quantum Information Theory
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 2
\pages 9--25
\mathnet{http://mi.mathnet.ru/ppi92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158681}
\zmath{https://zbmath.org/?q=an:1089.94014}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 2
\pages 76--90
\crossref{https://doi.org/10.1007/s11122-005-0013-7}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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