Quantum Stochastic Semigroups and Their Generators
Probability
2007-05-23 v1 Dynamical Systems
Abstract
A rigged Hilbert space characterisation of the unbounded generators of quantum completely positive (CP) stochastic semigroups is given. The general form and the dilation of the stochastic completely dissipative (CD) equation over the algebra L(H) is described, as well as the unitary quantum stochastic dilation of the subfiltering and contractive flows with unbounded generators is constructed.
Cite
@article{arxiv.math/0512360,
title = {Quantum Stochastic Semigroups and Their Generators},
author = {V. P. Belavkin},
journal= {arXiv preprint arXiv:math/0512360},
year = {2007}
}
Comments
23 pages. See also related papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html