Model Reduction for Controlled Quantum Markov Dynamics
Quantum Physics
2025-10-30 v1
Abstract
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.
Cite
@article{arxiv.2510.25546,
title = {Model Reduction for Controlled Quantum Markov Dynamics},
author = {Tommaso Grigoletto and Lorenza Viola and Francesco Ticozzi},
journal= {arXiv preprint arXiv:2510.25546},
year = {2025}
}