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Probl. Peredachi Inf., 2008, Volume 44, Issue 3, Pages 3–18 (Mi ppi1276)  

This article is cited in 61 scientific papers (total in 61 papers)

Information Theory

Entanglement-Breaking Channels in Infinite Dimensions

A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences

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.

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English version:
Problems of Information Transmission, 2008, 44:3, 171–184

Bibliographic databases:

UDC: 621.391.1:519.2
Received: 22.02.2008
Revised: 25.04.2008

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
\by A.~S.~Holevo
\paper Entanglement-Breaking Channels in Infinite Dimensions
\jour Probl. Peredachi Inf.
\yr 2008
\vol 44
\issue 3
\pages 3--18
\jour Problems Inform. Transmission
\yr 2008
\vol 44
\issue 3
\pages 171--184

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  • Проблемы передачи информации Problems of Information Transmission
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