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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2024

Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories

Nina Amini
Mael Bompais

Résumé

We show that quantum trajectories become exponentially fast supported by one of their minimal invariant subspaces. Exponential convergence is shown in expectation using Lyapunov techniques. The proof is based on an in-depth study of the identifiability of the probability distributions generated in the different subspaces. We furthermore introduce a feedback control strategy that allows for the targeted convergence towards a desired subspace. This convergence is also achieved at exponential speed.

Dates et versions

hal-04306785 , version 1 (25-11-2023)

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Nina Amini, Mael Bompais, Clément Pellegrini. Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories. SIAM Journal on Control and Optimization, In press. ⟨hal-04306785⟩
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