Title :
Feedback generation of quantum Fock states by discrete QND measures
Author :
Mirrahimi, Mazyar ; Dotsenko, Igor ; Rouchon, Pierre
Author_Institution :
Domaine de Voluceau, INRIA Rocquencourt, Le Chesnay, France
Abstract :
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 increase 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.
Keywords :
Lyapunov methods; Monte Carlo methods; convergence; feedback; quantum theory; stochastic processes; convergence; discrete QND measures; microwave cavity; photon number states; quantum Fock states feedback generation; quantum Monte Carlo simulations; quantum non demolition measurement; stochastic Lyapunov techniques; super martingales; Atomic measurements; Convergence; Detectors; Filters; Observers; Quantum dots; Quantum mechanics; Robustness; State estimation; State feedback;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399839
