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Problemy Peredachi Informatsii, 2008, Volume 44, Issue 3, Pages 3–18 (Mi ppi1276)  

This article is cited in 112 scientific papers (total in 112 papers)

Information Theory

Entanglement-Breaking Channels in Infinite Dimensions

A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: In the first part of the paper we give a representation for entanglement-breaking channels in separable Hilbert space that generalizes the “Kraus decomposition with rank-one operators” and use it to describe complementary channels. We also note that coherent information for antidegradable channel is always nonpositive. In the second part, we give necessary and sufficient condition for entanglement breaking for the general quantum Gaussian channel. Application of this condition to one-mode channels provides several new cases where the additivity conjecture holds in the strongest form.
Received: 22.02.2008
Revised: 25.04.2008
English version:
Problems of Information Transmission, 2008, Volume 44, Issue 3, Pages 171–184
DOI: https://doi.org/10.1134/S0032946008030010
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Probl. Peredachi Inf., 44:3 (2008), 3–18; Problems Inform. Transmission, 44:3 (2008), 171–184
Citation in format AMSBIB
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\paper Entanglement-Breaking Channels in Infinite Dimensions
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  • This publication is cited in the following 112 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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