A classification of open Gaussian dynamics
Quantum Physics
2018-06-13 v2
Abstract
We introduce a classification scheme for the generators of bosonic open Gaussian dynamics, providing instructive diagrams description for each type of dynamics. Using this classification, we discuss the consequences of imposing complete positivity on Gaussian dynamics. In particular, we show that non-symplectic operations must be active to allow for complete positivity. In addition, non-symplectic operations can, in fact, conserve the volume of phase space only if the restriction of complete positivity is lifted. We then discuss the implications for the relationship between information and energy flows in open quantum mechanics.
Cite
@article{arxiv.1709.07891,
title = {A classification of open Gaussian dynamics},
author = {Daniel Grimmer and Eric Brown and Achim Kempf and Robert B. Mann and Eduardo Martin-Martinez},
journal= {arXiv preprint arXiv:1709.07891},
year = {2018}
}