General structure of quantum collisional models
Abstract
We point to the connection between a recently introduced class of non-Markovian master equations and the general structure of quantum collisional models. The basic construction relies on three basic ingredients: a collection of time dependent completely positive maps, a completely positive trace preserving transformation and a waiting time distribution characterizing a renewal process. The relationship between this construction and a Lindblad dynamics is clarified by expressing the solution of a Lindblad master equation in terms of demixtures over different stochastic trajectories for the statistical operator weighted by suitable probabilities on the trajectory space.
Cite
@article{arxiv.1404.0635,
title = {General structure of quantum collisional models},
author = {Bassano Vacchini},
journal= {arXiv preprint arXiv:1404.0635},
year = {2014}
}
Comments
9 pages, 1 figure; proceedings of the conference IQIS 2013 to appear on IJQI