On time-reversal and space-time harmonic processes for Markovian quantum channels

Francesco Ticozzi; Michele Pavon

doi:10.1007/s11128-010-0186-x

On time-reversal and space-time harmonic processes for Markovian quantum channels

Francesco Ticozzi, Michele Pavon

Mathematics

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

Abstract

The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived in a general framework via a suitable adjointness relation. Space-time harmonic processes are then introduced for the forward and reverse-time transition mechanisms, and their role in the study of quantum dynamics is illustrated by discussing (operator and scalar) relative entropy dynamics.

Original language	English (US)
Pages (from-to)	551-574
Number of pages	24
Journal	Quantum Information Processing
Volume	9
Issue number	5
DOIs	https://doi.org/10.1007/s11128-010-0186-x
State	Published - Oct 2010

Keywords

H-theorem
Quantum channel
Space-time harmonic process
Time reversal

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modeling and Simulation
Electrical and Electronic Engineering

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10.1007/s11128-010-0186-x

Cite this

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abstract = "The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived in a general framework via a suitable adjointness relation. Space-time harmonic processes are then introduced for the forward and reverse-time transition mechanisms, and their role in the study of quantum dynamics is illustrated by discussing (operator and scalar) relative entropy dynamics.",

keywords = "H-theorem, Quantum channel, Space-time harmonic process, Time reversal",

author = "Francesco Ticozzi and Michele Pavon",

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KW - Quantum channel

KW - Space-time harmonic process

KW - Time reversal

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On time-reversal and space-time harmonic processes for Markovian quantum channels

Abstract

Keywords

ASJC Scopus subject areas

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