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Open Quantum Systems Decoherence

Model Reduction for Controlled Quantum Markov Dynamics

arXiv
Authors: Tommaso Grigoletto, Lorenza Viola, Francesco Ticozzi

Year

2025

Paper ID

17918

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

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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  • 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...

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