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Article dans une revue
Stabilization of a Delayed Quantum System: The Photon Box Case-Study
Abstract : A feedback scheme, stabilizing an arbitrary photon-number state in a microwave cavity, is analyzed. The quantum non-demolition measurement of the cavity state allows in open-loop a non-deterministic preparation of photon-number states. By the mean of a controlled classical field injection, this preparation process is made deterministic. The system evolves through a discrete-time Markov process and the feedback law relies on Lyapunov techniques. This feedback design compensates an unavoidable pure delay by a stochastic version of a Kalman-type predictor. After illustrating the efficiency of the proposed feedback law through simulations, the global closed-loop convergence is proved. It relies on tools from stochastic stability analysis. A brief study of the Lyapunov exponents of the linearized system around the target state gives a strong indication of the robustness of the method.
Littérature citée [20 références]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00755188
Contributeur : François Chaplais <>
Soumis le : mardi 20 novembre 2012 - 16:02:54
Dernière modification le : jeudi 24 septembre 2020 - 17:04:18
Archivage à long terme le : : jeudi 21 février 2013 - 12:21:05
Contributeur : François Chaplais <>
Soumis le : mardi 20 novembre 2012 - 16:02:54
Dernière modification le : jeudi 24 septembre 2020 - 17:04:18
Archivage à long terme le : : jeudi 21 février 2013 - 12:21:05
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StabilizationDelayQuantum.pdf
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