On the General Form of Quantum Stochastic Evolution Equation
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A characterisation of the quantum stochastic bounded generators of irreversible quantum state evolutions is given. This suggests the general form of quantum stochastic evolution equation with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive (CP) cocycles is also characterized and the general form of the stochastic completely dissipative (CD) operator equation is discovered.
Keywords
Cite
@article{arxiv.math/0512510,
title = {On the General Form of Quantum Stochastic Evolution Equation},
author = {V. P. Belavkin},
journal= {arXiv preprint arXiv:math/0512510},
year = {2007}
}
Comments
12 pages. See also relevant papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html and http://www.maths.nott.ac.uk/personal/vpb/research/fil_con.html