Sufficient conditions placed on initial system-environment states for positive maps
Quantum Physics
2015-03-17 v2
Abstract
A system interacting with its environment will give rise to a quantum evolution. After tracing over the environment the net evolution of the system can be described by a linear Hermitian map. It has recently been shown that a necessary and sufficient condition for this evolution to be completely positive is for the initial state to have vanishing quantum discord. In this paper, we provide a sufficient condition for the map to be positive with respect to the initial system-environment correlation. This could lead to ways in which to identify positive but not completely positive maps. Illustrative examples and suggestive procedures are also provided.
Cite
@article{arxiv.1004.4922,
title = {Sufficient conditions placed on initial system-environment states for positive maps},
author = {Yong-Cheng Ou and C. Allen Bishop and Mark S. Byrd},
journal= {arXiv preprint arXiv:1004.4922},
year = {2015}
}