Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
Quantum Physics
2015-05-18 v2
Abstract
A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of the output entropy of the channel (i.e. the minimal output entropy increment for fixed input entropy) is achieved by Gaussian states. In the case of centered channels (i.e. channels which do not add squeezing to the input state) this implies that the minimum is obtained by thermal (Gibbs) inputs. The conjecture is proved to be valid in some special cases.
Keywords
Cite
@article{arxiv.1004.4787,
title = {Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results},
author = {V. Giovannetti and A. S. Holevo and S. Lloyd and L. Maccone},
journal= {arXiv preprint arXiv:1004.4787},
year = {2015}
}
Comments
7 pages, updated version minor typos corrected