When the assignment map is completely positive
Quantum Physics
2018-12-18 v3
Abstract
Finding the general set of system-environment states for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [X. Lu, Phys. Rev. A 93, 042332 (2016)], where the problem has been solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [J. M. Dominy et al., Quantum Inf. Process. 15, 465 (2016)]. This, we think, clarifies the mentioned result better and so leads to a generalization of it, straightforwardly.
Cite
@article{arxiv.1702.03702,
title = {When the assignment map is completely positive},
author = {Iman Sargolzahi and Sayyed Yahya Mirafzali},
journal= {arXiv preprint arXiv:1702.03702},
year = {2018}
}
Comments
7 pages. arXiv admin note: substantial text overlap with arXiv:1608.07412