A homomorphism theorem and a Trotter product formula for quantum stochastic flows with unbounded coefficients
Operator Algebras
2016-11-25 v2 Probability
Abstract
We give a new method for proving the homomorphic property of a quantum stochastic ow satisfying a quantum stochastic differential equation with unbounded coefficients, under some further hypotheses. As an application, we prove a Trotter product formula for quantum stochastic ows and obtain quantum stochastic dilations of a class of quantum dynamical semigroups generalizing results of [5]
Keywords
Cite
@article{arxiv.1001.0233,
title = {A homomorphism theorem and a Trotter product formula for quantum stochastic flows with unbounded coefficients},
author = {Biswarup Das and Debashish Goswami and Kalyan B. Sinha},
journal= {arXiv preprint arXiv:1001.0233},
year = {2016}
}