Model Reduction for Controlled Quantum Markov Dynamics

Fuente: arXiv
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Main Authors: Grigoletto, Tommaso, Viola, Lorenza, Ticozzi, Francesco
Format: Preprint
Published: 2025
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author Grigoletto, Tommaso
Viola, Lorenza
Ticozzi, Francesco
author_facet Grigoletto, Tommaso
Viola, Lorenza
Ticozzi, Francesco
contents We consider the problem of model reduction for Markovian quantum systems whose dynamics are described by a time-dependent Lindblad generator -- notably, as arising in the presence of external control. Our approach, which builds upon Krylov operator subspaces and operator-algebraic techniques introduced for time-independent generators, returns a reduced model that reproduces exactly the evolution of observables of interest and is guaranteed to be in Lindblad form.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25546
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Model Reduction for Controlled Quantum Markov Dynamics
Grigoletto, Tommaso
Viola, Lorenza
Ticozzi, Francesco
Quantum Physics
We consider the problem of model reduction for Markovian quantum systems whose dynamics are described by a time-dependent Lindblad generator -- notably, as arising in the presence of external control. Our approach, which builds upon Krylov operator subspaces and operator-algebraic techniques introduced for time-independent generators, returns a reduced model that reproduces exactly the evolution of observables of interest and is guaranteed to be in Lindblad form.
title Model Reduction for Controlled Quantum Markov Dynamics
topic Quantum Physics
url https://arxiv.org/abs/2510.25546