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Additivity properties of a Gaussian Channel

Vittorio Giovannetti·Seth Lloyd
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Abstract

The Amosov-Holevo-Werner conjecture implies the additivity of the minimum Re'nyi entropies at the output of a channel. The conjecture is proven true for all Re'nyi entropies of integer order greater than two in a class of Gaussian bosonic channel where the input signal is randomly displaced or where it is coupled linearly to an external environment.

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Vittorio Giovannetti, Seth Lloyd. 2004-06-14. Additivity properties of a Gaussian Channel. https://doi.org/10.1103/physreva.69.062307

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