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Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 2, Pages 359–374
DOI: https://doi.org/10.4213/tvp289 (Mi tvp289) 		 
This article is cited in 48 scientific papers (total in 48 papers)

Entanglement-assisted capacities of constrained quantum channels

A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1473 kB) Citations (48)
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DOI: https://doi.org/10.4213/tvp289
Abstract: In this paper we fill a gap in previous works by proving the conjectured formula for the classical entanglement-assisted capacity of a quantum channel with additive constraint (such as the Bosonic Gaussian channel). Our main tools are the coding theorem for classical-quantum constrained channels and a finite-dimensional approximation of the input density operators for entanglement-assisted capacity. We also give sufficient conditions under which suprema in the capacity formulas are achieved.
Keywords: quantum communication channel, classical capacity, entangled state.
Received: 26.11.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 2, Pages 243–255
DOI: https://doi.org/10.1137/S0040585X97980415
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Holevo, “Entanglement-assisted capacities of constrained quantum channels”, Teor. Veroyatnost. i Primenen., 48:2 (2003), 359–374; Theory Probab. Appl., 48:2 (2004), 243–255
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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  • https://www.mathnet.ru/eng/tvp289
  • https://doi.org/10.4213/tvp289
  • https://www.mathnet.ru/eng/tvp/v48/i2/p359
    • This publication is cited in the following 48 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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    References:72
     
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