Majorization theory approach to the Gaussian channel minimum entropy conjecture
Quantum Physics
2013-02-14 v1
Abstract
A longstanding open problem in quantum information theory is to find the classical capacity of an optical communication link, modeled as a Gaussian bosonic channel. It has been conjectured that this capacity is achieved by a random coding of coherent states using an isotropic Gaussian distribution in phase space. We show that proving a Gaussian minimum entropy conjecture for a quantum-limited amplifier is actually sufficient to confirm this capacity conjecture, and we provide a strong argument towards this proof by exploiting a connection between quantum entanglement and majorization theory.
Cite
@article{arxiv.1111.1986,
title = {Majorization theory approach to the Gaussian channel minimum entropy conjecture},
author = {Raul Garcia-Patron and Carlos Navarrete-Benlloch and Seth Lloyd and Jeffrey H. Shapiro and Nicolas J. Cerf},
journal= {arXiv preprint arXiv:1111.1986},
year = {2013}
}