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• W2114626490 abstract "We study the state feedback stabilization of a quantum harmonic oscillator near a pre-specified Fock state (photon number state). Such a state feedback controller has been recently implemented on a quantized electromagnetic field in an almost lossless cavity. Such open quantum systems are governed by a controlled discrete-time Markov chain in the unit ball of an infinite dimensional Hilbert space. The control design is based on an unbounded Lyapunov function that is minimized at each time-step by feedback. This ensures (weak-*) convergence of probability measures to a final measure concentrated on the target Fock state with a pre-specified probability. This probability may be made arbitrarily close to 1 by choosing the feedback parameters and the Lyapunov function. They are chosen so that the stochastic flow that describes the Markov process may be shown to be tight (concentrated on a compact set with probability arbitrarily close to 1). Convergence proof uses Prohorov's theorem and specific properties of this Lyapunov function." @default.
• W2114626490 created "2016-06-24" @default.
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• W2114626490 date "2013-02-01" @default.
• W2114626490 modified "2023-10-09" @default.
• W2114626490 title "APPROXIMATE STABILIZATION OF AN INFINITE DIMENSIONAL QUANTUM STOCHASTIC SYSTEM" @default.
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• W2114626490 doi "https://doi.org/10.1142/s0129055x13500013" @default.
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