Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space

Details Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space

2008-11-06

arxiv.org/abs/0811.0933v2

Physics

Mathematical Physics

34 pages

Scientific paper

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.

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