State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System
State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System
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.
Keywords: quantum Lyapunov control; state transfer; quantum state estimation; quantum feedback control; on-line quantum state estimation
Full Paper can be downloaded at: https://www.mdpi.com/1099-4300/21/8/751
This article belongs to the Special Issue Open Quantum Systems (OQS) for Quantum Technologies
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