IEEE Conference on Decision and Control (CDC)

Local reachability of stochastic quantum dynamics with application to feedback control of single-spin systems

Naoki Yamamoto, H. Machida, Koji Tsumura, Shinji Hara

Published Oct 4, 2006• 6 citations

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.

DOI: 10.1109/cdc.2005.1583491

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