Quantum random walks and thermalisation
Functional Analysis
2009-04-28 v2 Mathematical Physics
math.MP
Abstract
It is shown how to construct quantum random walks with particles in an arbitrary faithful normal state. A convergence theorem is obtained for such walks, which demonstrates a thermalisation effect: the limit cocycle obeys a quantum stochastic differential equation without gauge terms. Examples are presented which generalise that of Attal and Joye (2007, J. Funct. Anal. 247, 253-288).
Cite
@article{arxiv.0810.2927,
title = {Quantum random walks and thermalisation},
author = {Alexander C. R. Belton},
journal= {arXiv preprint arXiv:0810.2927},
year = {2009}
}
Comments
16 pages