Time-Reversal and Strong H-Theorem for Quantum Discrete-Time Markov Channels

F. Ticozzi; M. Pavon

doi:10.1142/9789814313155_0033

Time-Reversal and Strong H-Theorem for Quantum Discrete-Time Markov Channels

F. Ticozzi, M. Pavon

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The time reversal of a completely-positive, non-equilibrium discrete-time quantum Markov evolution is derived via a suitable adjointness relation. Space-time harmonic processes are introduced for the forward and reverse-time transition mechanisms, and their role for relative entropy dynamics is discussed.

Original language	English (US)
Title of host publication	From Physics to Control through an Emergent View
Publisher	World Scientific Publishing Co.
Pages	221-226
Number of pages	6
ISBN (Electronic)	9789814313155
ISBN (Print)	9814313149, 9789814313148
DOIs	https://doi.org/10.1142/9789814313155_0033
State	Published - Jan 1 2010

Keywords

H-theorem
Space-time harmonic process
Time reversal

ASJC Scopus subject areas

General Physics and Astronomy

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10.1142/9789814313155_0033

Cite this

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abstract = "The time reversal of a completely-positive, non-equilibrium discrete-time quantum Markov evolution is derived via a suitable adjointness relation. Space-time harmonic processes are introduced for the forward and reverse-time transition mechanisms, and their role for relative entropy dynamics is discussed.",

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BT - From Physics to Control through an Emergent View

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Time-Reversal and Strong H-Theorem for Quantum Discrete-Time Markov Channels

Abstract

Keywords

ASJC Scopus subject areas

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