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One-mode quantum Gaussian channels: Structure and quantum capacity

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Abstract

A complete classification of one-mode Gaussian channels is given up to canonical unitary equivalence. We also comment on the quantum capacity of these channels. A channel complementary to the quantum channel with additive classical Gaussian noise is described, providing an example of a one-mode Gaussian channel which is neither degradable nor antidegradable.

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References

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    A. S. Holevo

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  1. A. S. Holevo
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Additional information

Original Russian Text © A.S. Holevo, 2007, published in Problemy Peredachi Informatsii, 2007, Vol. 43, No. 1, pp. 3–14.

Supported in part by the Russian Foundation for Basic Research, project no. 06-01-00164-a, and the Scientific Program of the Branch of Mathematics of the RAS “Modern Problems of Theoretical Mathematics.”

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Holevo, A.S. One-mode quantum Gaussian channels: Structure and quantum capacity. Probl Inf Transm 43, 1–11 (2007). https://doi.org/10.1134/S0032946007010012

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  • DOI: https://doi.org/10.1134/S0032946007010012

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