Additivity properties of a Gaussian Channel
arXiv:quant-ph/0403075 · doi:10.1103/PhysRevA.69.062307
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.
9 pages, 1 figure (minor error present in the published version corrected)