Completely positive maps within the framework of direct-sum decomposition of state space
Quantum Physics
2014-07-09 v1
Abstract
We investigate completely positive maps for an open system interacting with its environment. The families of the initial states for which the reduced dynamics can be described by a completely positive map are identified within the framework of direct-sum decomposition of state space. They includes not only separable states with vanishing or nonvanishing quantum discord but also entangled states. A general expression of the families as well as the Kraus operators for the completely positive maps are explicitly given. It significantly extends the previous results.
Keywords
Cite
@article{arxiv.1407.2051,
title = {Completely positive maps within the framework of direct-sum decomposition of state space},
author = {Longjiang Liu and D. M. Tong},
journal= {arXiv preprint arXiv:1407.2051},
year = {2014}
}
Comments
7 pages, no figure