, Volume 43, Issue 1, pp 1-11

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.

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.”