Additivity properties of a Gaussian Channel
Quantum Physics
2009-11-10 v3
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.
Cite
@article{arxiv.quant-ph/0403075,
title = {Additivity properties of a Gaussian Channel},
author = {Vittorio Giovannetti and Seth Lloyd},
journal= {arXiv preprint arXiv:quant-ph/0403075},
year = {2009}
}
Comments
9 pages, 1 figure (minor error present in the published version corrected)