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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 1, Pages 143–146
DOI: https://doi.org/10.4213/tvp3068 (Mi tvp3068) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Short Communications

On the multiplicativity hypothesis for quantum communication channels

G. G. Amosov, A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (445 kB) Citations (21)
DOI: https://doi.org/10.4213/tvp3068
Abstract: A formulation of the multiplicativity hypothesis for quantum communication channels is given, the validity of which for parameter values $p$, arbitrarily close to 1, implies a positive solution of the fundamental additivity problem for channel capacity in quantum information theory. A proof of this hypothesis is given for depolarizing channels in the case of integer $p$.
Keywords: quantum communication channel, additivity problem for channel capacity, multiplicativity of the norms, depolarizing channel.
Received: 02.04.2001
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 1, Pages 123–127
DOI: https://doi.org/S0040585X97979500
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 143–146; Theory Probab. Appl., 47:1 (2003), 123–127
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 1
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  • https://www.mathnet.ru/eng/tvp3068
  • https://doi.org/10.4213/tvp3068
  • https://www.mathnet.ru/eng/tvp/v47/i1/p143
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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