A bipartite state is called lazy if the entropy rate of one subsystem is vanishing for any coupling to the other subsystem. In this paper, we provide a necessary and sufficient condition for a finite-dimensional bipartite state to be lazy, and prove that a two-mode Gaussian state is lazy if and only if it is a direct product state.
Cite
@article{arxiv.1402.0274,
title = {What bipartite states are lazy},
author = {Jianwei Xu},
journal= {arXiv preprint arXiv:1402.0274},
year = {2015}
}