Non-Markovianity of Gaussian Channels
Quantum Physics
2015-08-20 v2 Other Condensed Matter
Mathematical Physics
math.MP
Abstract
We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance matrix which is then exploited to determine the condition for the complete positivity of partial maps associated to arbitrary time intervals. Such construction does not rely on the Choi-Jamiolkowski representation and does not require optimization over states.
Keywords
Cite
@article{arxiv.1504.00671,
title = {Non-Markovianity of Gaussian Channels},
author = {Gianpaolo Torre and Wojciech Roga and Fabrizio Illuminati},
journal= {arXiv preprint arXiv:1504.00671},
year = {2015}
}
Comments
5 pages, 1 figure. Published version