Global feedback stabilization of quantum noiseless subsystems

Authors:
Kazunori Nishio;Kenji Kashima;Jun-ichi Imura
Affiliations:
Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan;Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan;Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

In this paper, we investigate the state preparation problem of quantum noiselsss subsystems for the quantum Markovian systems via quantum feedback control. The controlled dynamics we consider are given by the so-called stochastic master equation including the coupling terms with the environment. We formulate the problem as a stochastic stabilization problem of an invariant set. This formulation allows us to utilize the stochastic Lyapunov technique and derive a globally stabilizing controller. The effectiveness of this method is evaluated by applying it to the 3-qubit systems subject to the collective noise.