Nonlinear Optimal Feedback Control of the Two-Level Open Non-Markovian Stochastic Quantum System

Author:

Qamar Shahid12,Cong Shuang1,Li Kezhi3,Dong Zhixiang1,Shuang Feng4

Affiliation:

1. Department of Automation, University of Science and Technology of China, Hefei, China

2. Division of Quantum Computation and Communication, Beijing Academy of Quantum Information Sciences, Beijing, China

3. Institute of Health information, University College London, London, NW12DA, UK

4. School of Electrical Engineering, Guangxi University, Nanning, China

Abstract

In this paper, a nonlinear optimal feedback control based on the nonlinear state estimator for a two-level open non-Markovian stochastic quantum system is proposed. The proposed nonlinear state estimator is designed by using the state-dependent differential Riccati equation and constructed to optimally estimate the state. The estimated state is updated by the output data of continuous weak measurement of the controlled quantum system and used to design the nonlinear state feedback controller to track the output of the reference model. The output state of reference model is chosen as the desired performance. The numerical simulation results verify the achievability of the proposed state feedback control strategy, and the capability to steer the state of system from any arbitrary initial state to the final reference target state with high state transfer success rate.

Funder

the National Natural Science Foundation of China

the National Natural Science Foundation of International Cooperation and Exchanges Project in China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

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