Feedback generation of quantum Fock states by discrete QND measures

Details Feedback generation of quantum Fock states by discrete QND measures Feedback generation of quantum Fock states by discrete QND measures

2009-03-05

arxiv.org/abs/0903.0996v2

IEEE Conference on Decision and Control, pp: 1451-1456, 2009

Physics

Quantum Physics

submitted, update version with feedback law of arXiv:0905.0114 [quant-ph]

Scientific paper

A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state. The control consists in injecting into the cavity mode a microwave pulse adjusted to maximize the population of the desired target photon number. In the ideal case (perfect cavity and measures), we present the feedback scheme and its detailed convergence proof through stochastic Lyapunov techniques based on super-martingales and other probabilistic arguments. Quantum Monte-Carlo simulations performed with experimental parameters illustrate convergence and robustness of such feedback scheme.

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