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State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System

Department of Automation, University of Science and Technology of China, Hefei 230027, China
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Entropy 2019, 21(8), 751; https://doi.org/10.3390/e21080751
Received: 20 May 2019 / Revised: 20 July 2019 / Accepted: 29 July 2019 / Published: 31 July 2019
(This article belongs to the Special Issue Open Quantum Systems (OQS) for Quantum Technologies)
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Abstract

In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy. View Full-Text
Keywords: quantum Lyapunov control; state transfer; quantum state estimation; quantum feedback control; on-line quantum state estimation quantum Lyapunov control; state transfer; quantum state estimation; quantum feedback control; on-line quantum state estimation
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Harraz, S.; Cong, S. State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System. Entropy 2019, 21, 751.

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