Model Reduction for Controlled Quantum Markov Dynamics

Tommaso Grigoletto; Lorenza Viola; Francesco Ticozzi

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arXiv · 2510.25546

Model Reduction for Controlled Quantum Markov Dynamics

Tommaso Grigoletto·Lorenza Viola·Francesco Ticozzi

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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.

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Tommaso Grigoletto, Lorenza Viola, Francesco Ticozzi. 2025-10-29. Model Reduction for Controlled Quantum Markov Dynamics. https://arxiv.org/abs/2510.25546

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