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IEEE Conference on Decision and Control (CDC)

Global stabilization of quantum spin systems via discrete time feedback control

Daisuke Matsuna, Koji Tsumura

Published Dec 1, 2010• 0 citations
Publisher

Abstract

In this paper, a stabilization problem for a quantum 1/2 spin system is discussed. The system is assumed to be observed and controlled with a sampled data system. We introduce a discrete time stochastic model of the dynamics and propose a switching feedback controller. We show that the controller attains global stabilization at the target states under a condition on a sampling time by using a stochastic Lyapunov function for the discrete time systems. Finally, we demonstrate numerical simulations to show the effectiveness of our proposing controller.

DOI
10.1109/cdc.2010.5717349

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