Dynamical Vector Fields on the Manifold of Quantum States
Quantum Physics
2018-02-07 v1
Abstract
In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it. In particular, we show that the infinitesimal generator of the GKLS evolution is composed of a generator of unitary transformations plus a gradient vector field along with a Kraus vector field transversal to the strata defined by the involutive distribution generated by the former ones.
Cite
@article{arxiv.1707.00293,
title = {Dynamical Vector Fields on the Manifold of Quantum States},
author = {Florio M. Ciaglia and Fabio Di Cosmo and Alberto Ibort and Marco Laudato and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1707.00293},
year = {2018}
}
Comments
30 pages, 2 figures, comments are welcome