Additivity properties of Gaussian Channels

Preprint

9 March 2004

preprint
Published by arXiv in arXiv

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.

Keywords

ADDITIVITY PROPERTIES
CONJECTURE IMPLIES
GAUSSIAN CHANNELS
RE'NYI ENTROPIES
HOLEVO WERNER
AMOSOV HOLEVO

All Related Versions

Version 1, 2004-03-09, ArXiv
Version 2, 2004-06-07, ArXiv
Version 3, 2004-06-14, ArXiv
Published version: Physical Review A, 69 (6), 062307.

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