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Communication Dans Un Congrès Année : 2023

Asymptotic Stability of Non-Demolition Quantum Trajectories with Measurement Imperfections

Mael Bompais
Nina Amini

Résumé

We consider the question of asymptotic stability of quantum trajectories undergoing quantum non-demolition imperfect measurement, that is to say the convergence of the estimated trajectory towards the true trajectory whose parameters and initial state are not necessarily known. We give conditions on the estimated initial state and regions of validity for the estimated parameters so that this convergence is ensured. We illustrate these results through numerical simulations on the physical example [1] and discuss the asymptotic stability for a more realistic general case where decoherence acts on the system. In this case, the evolution is described by new Kraus operators which do not satisfy the quantum non-demolition property.

Dates et versions

hal-04306449 , version 1 (25-11-2023)

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Mael Bompais, Nina Amini. Asymptotic Stability of Non-Demolition Quantum Trajectories with Measurement Imperfections. 62nd IEEE Conference on Decision and Control (CDC 2023), Dec 2023, Singapore, Singapore. ⟨hal-04306449⟩
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