The theory of Schrödinger 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.
Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space
PAVON, MICHELE;TICOZZI, FRANCESCO
2010
Abstract
The theory of Schrödinger 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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
