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Journal articles
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.
Cited literature [20 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00755188
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Tuesday, November 20, 2012 - 4:02:54 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:23 AM
Long-term archiving on: : Thursday, February 21, 2013 - 12:21:05 PM
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Tuesday, November 20, 2012 - 4:02:54 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:23 AM
Long-term archiving on: : Thursday, February 21, 2013 - 12:21:05 PM
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StabilizationDelayQuantum.pdf
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