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Model Reduction for Controlled Quantum Markov Dynamics
Tommaso Grigoletto, Lorenza Viola, Francesco Ticozzi·October 29, 2025
Quantum Physics
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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.