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A gradient-based approach to feedback control of quantum systems

Authors:
Gerasimos Rigatos

Keywords: gradient-based feedback control, quantum systems, Schr"{o}dinger's equation, Lindblad's equation, Lyapunov stability, LaSalle's invariance principle.

Abstract:
The paper proposes a gradient-based feedback control approach to the stabilization of quantum systems. The spin model is used to define the eigenstates of the quantum system. Using Lindblad's differential equation an estimate of the state of the quantum system is obtained. Moreover, by applying Lyapunov's stability theory and LaSalle's invariance principle a gradient control law is derived which assures that the quantum system's state will track the desirable state within acceptable accuracy levels. The performance of the control loop is studied through simulation experiments for the case of a two-qubit quantum system.

Pages: 12 to 17

Copyright: Copyright (c) IARIA, 2011

Publication date: August 21, 2011

Published in: conference

ISSN: 2308-3530

ISBN: 978-1-61208-151-9

Location: Nice/Saint Laurent du Var, France

Dates: from August 21, 2011 to August 27, 2011