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

Michele Pavon; Francesco Ticozzi

doi:10.1063/1.3372725

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

Michele Pavon, Francesco Ticozzi

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	020004JMP
Journal	Journal of Mathematical Physics
Volume	51
Issue number	4
DOIs	https://doi.org/10.1063/1.3372725
State	Published - Apr 2010

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.3372725

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title = "Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space",

abstract = "The theory of Schr{\"o}dinger 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.",

author = "Michele Pavon and Francesco Ticozzi",

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journal = "Journal of Mathematical Physics",

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AB - 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.

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

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