Additivity properties of a Gaussian Channel

Physics – Quantum Physics

Scientific paper

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Details

9 pages, 1 figure (minor error present in the published version corrected)

Scientific paper

10.1103/PhysRevA.69.062307

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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