Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space
Mathematical Physics
2009-04-29 v2 math.MP
Abstract
The theory of Schroedinger bridges for diffusion processes is extended to classical and quantum discrete-time Markovian evolutions. The solution of the path space maximum entropy problems is obtained from the a priori model in both cases via a suitable multiplicative functional transformation. In the quantum case, nonequilibrium time reversal of quantum channels is discussed and space-time harmonic processes are introduced.
Cite
@article{arxiv.0811.0933,
title = {Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space},
author = {Michele Pavon and Francesco Ticozzi},
journal= {arXiv preprint arXiv:0811.0933},
year = {2009}
}
Comments
34 pages