Published December 2005
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Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems
Abstract
A quantum state subject to a continuous measurement obeys a nonlinear stochastic differential equation called the stochastic master equation. In this paper, we utilize the technique of local reachability developed in control theory to characterize a class of the measurement and the controller in such a way that the local transition of the controlled quantum state is restricted to a low-dimensional manifold. We examine the proposed controller for single-spin systems with two typical measurements.
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