Impact of positivity and complete positivity on accessibility of Markovian dynamics
Quantum Physics
2009-11-11 v1
Abstract
We consider a two-dimensional quantum control system evolving under an entropy-increasing irreversible dynamics in the semigroup form. Considering a phenomenological approach to the dynamics, we show that the accessibility property of the system depends on whether its evolution is assumed to be positive or completely positive. In particular, we characterize the family of maps having different accessibility and show the impact of that property on observable quantities by means of a simple physical model.
Cite
@article{arxiv.quant-ph/0509041,
title = {Impact of positivity and complete positivity on accessibility of Markovian dynamics},
author = {Raffaele Romano},
journal= {arXiv preprint arXiv:quant-ph/0509041},
year = {2009}
}
Comments
11 pages, to appear in J. Phys. A