On a class of quantum channels, open random walks and recurrence
Mathematical Physics
2015-06-26 v4 math.MP
Probability
Abstract
We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we are able to describe criteria for recurrence of the walk related to this class of channels. Positive recurrence for open walks is also discussed in this context.
Keywords
Cite
@article{arxiv.1402.0483,
title = {On a class of quantum channels, open random walks and recurrence},
author = {Carlos F. Lardizabal and Rafael R. Souza},
journal= {arXiv preprint arXiv:1402.0483},
year = {2015}
}
Comments
18 pages, revised version