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Probl. Peredachi Inf., 2014, Volume 50, Issue 1, Pages 3–17 (Mi ppi2129)  

This article is cited in 2 scientific papers (total in 2 papers)

Information Theory

Gaussian classical-quantum channels: gain from entanglement-assistance

A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: In the present paper we introduce and study Bosonic Gaussian classical-quantum (c-q) channels; embedding of the classical input in quantum input is always possible, and therefore the classical entanglement-assisted capacity $C_\mathrm{ea}$ under an appropriate input constraint is well defined. We prove the general property of entropy increase for a weak complementary channel, which implies the equality $C=C_\mathrm{ea}$ (where $C$ is the unassisted capacity) for a certain class of c-q Gaussian channels under an appropriate energy-type constraint. On the other hand, we show by an explicit example that the inequality $C<C_\mathrm{ea}$ is not unusual for constrained c-q Gaussian channel.

Funding Agency Grant Number
Russian Foundation for Basic Research 12-01-00319-а
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Quantum Center


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English version:
Problems of Information Transmission, 2014, 50:1, 1–14

Bibliographic databases:

Document Type: Article
UDC: 621.391.1+519.72
Received: 07.08.2013

Citation: A. S. Holevo, “Gaussian classical-quantum channels: gain from entanglement-assistance”, Probl. Peredachi Inf., 50:1 (2014), 3–17; Problems Inform. Transmission, 50:1 (2014), 1–14

Citation in format AMSBIB
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\by A.~S.~Holevo
\paper Gaussian classical-quantum channels: gain from entanglement-assistance
\jour Probl. Peredachi Inf.
\yr 2014
\vol 50
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/ppi2129}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3224806}
\transl
\jour Problems Inform. Transmission
\yr 2014
\vol 50
\issue 1
\pages 1--14
\crossref{https://doi.org/10.1134/S0032946014010013}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. S. Holevo, M. E. Shirokov, “On the Gain of Entanglement Assistance in the Classical Capacity of Quantum Gaussian Channels”, Math. Notes, 97:6 (2015), 974–977  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. V. I. Volchikhin, A. I. Ivanov, A. V. Serikov, Yu. I. Serikova, “Quantum Superposition of the Discrete Spectrum of Mathematical Correlation Molecule Stat Us For Small Samples of Biometric Data”, Mordovia Univ. Bull., 27:2 (2017), 224–238  crossref  isi
  • Проблемы передачи информации Problems of Information Transmission
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