On quantum additive Gaussian noise channels
Quantum Physics
2017-04-27 v2
Abstract
We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the result of applying passive unitaries to the input and output of a Gaussian additive channel. The latter combine the state of the system with that of the environment by means of a multi-mode beamsplitter.
Cite
@article{arxiv.1608.04305,
title = {On quantum additive Gaussian noise channels},
author = {Martin Idel and Robert Koenig},
journal= {arXiv preprint arXiv:1608.04305},
year = {2017}
}
Comments
20 pages, 1 figure, updated to match published version