Feedback stabilization of discrete-time quantum systems

Hadis Amini (Australian National University)

SYSTEMS AND CONTROL SERIES

DATE: 2012-08-17
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
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ABSTRACT:
This presentation is devoted to the mathematical methods underlying the Laboratoire Kastler Brossel (LKB) quantum feedback experiment stabilizing photon-number states. This controlled system is governed by a discrete-time nonlinear Markov process. In open-loop, this Markov process admits a set of martingales and stationary pure states. These open-loop martingales are exploited to design an adapted Lyapunov feedback law that globally stabilizes the system towards a chosen target state among these stationary pure states. Using a predictive quantum filter, the proposed feedback scheme is proved to be convergent even in the presence of delays and imperfect measurements.
BIO:
Hadis Amini was born in Tehran, Iran, in 1984. She received the B.S. degree from Ecole Polytechnique, Paris, France, the M.S. degree in financial mathematics and statistics from Acole Nationale de la Statistique et de laAdministration Aconomique (ENSAE), Paris, France, and has recently submitted her Ph.D. thesis in quantum control at Ecole des Mines de Paris, Paris, France. Her research interests include stochastic control, filtering theory, probability, financial mathematics, and quantum control.