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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2019

On exponential stabilization of N-level quantum angular momentum systems

Nina Amini
Paolo Mason

Résumé

In this paper, we consider the feedback stabilization problem for N-level quantum angular momentum systems undergoing continuous-time measurements. By using stochastic and geometric control tools, we provide sufficient conditions on the feedback control law ensuring almost sure exponential convergence to a predetermined eigenstate of the measurement operator. In order to achieve these results, we establish general features of quantum trajectories which are of interest by themselves. We illustrate the results by designing a class of feedback control laws satisfying the above-mentioned conditions and finally we demonstrate the effectiveness of our methodology through numerical simulations for three-level quantum angular momentum systems.
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Dates et versions

hal-02176222 , version 1 (14-04-2020)

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Weichao Liang, Nina Amini, Paolo Mason. On exponential stabilization of N-level quantum angular momentum systems. SIAM Journal on Control and Optimization, 2019, 57 (6), pp.3939-3960. ⟨10.1137/19M1245177⟩. ⟨hal-02176222⟩
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