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On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel

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Abstract

We obtain a lower estimate for the output entropy of a tensor product of the quantum phase-damping channel and an arbitrary channel. We show that this estimate immediately implies that strong superadditivity of the output entropy holds for this channel as well as for the quantum depolarizing channel.

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Authors and Affiliations

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

    G. G. Amosov

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  1. G. G. Amosov
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Correspondence to G. G. Amosov.

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Original Russian Text © G.G. Amosov, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 3, pp. 32–39.

Supported in part by the Presidium of the Russian Academy of Sciences, Fundamental Research Program “Dynamical Systems and Control Theory,” 2013, and the Russian Foundation for Basic Research, project nos. 12-01-00319-a and 11-02-00456-a.

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Amosov, G.G. On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel. Probl Inf Transm 49, 224–231 (2013). https://doi.org/10.1134/S0032946013030022

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  • DOI: https://doi.org/10.1134/S0032946013030022

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