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Real-Time Optimal State Estimation-Based feedback control for Stochastic quantum Systems in the Non-Markovian Case

Journal of Systems Science & Complexity 2023年第6期36卷 2274-2291页

作者： CONG Shuang ZHANG Jiaoyang KUANG Sen HARRAZ Sajede Department of Automation University of Science and Technology of ChinaHefei230027China

This paper studies the real-time optimal state estimation-based feedback control for twolevel stochastic quantum systems in the non-Markovian case.The system model is established by combining the time-convolutionless non-Markovian master equation and the stochastic master equation.A nonlinear filter based on the state-dependent Riccati equation is designed in order to achieve the realtime optimal estimation of quantum states.A quadratic function multiplied with an exponential term is selected as the Lyapunov function,and a continuous-time control law is deduced via the stochastic Lyapunov stability theorem to realize eigenstate feedback control based on real-time optimal state estimation.Numerical simulation results illustrate that the proposed control scheme is capable of steering the two-level quantum system from an arbitrary initial state to the desired eigenstate with a fidelity higher than 99%within a time of 3 a.u.

关键词： Lyapunov-based approach optimal nonlinear filter quantum feedback control stochastic quantum system

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quantum speed limit time of a two-level atom under different quantum feedback control

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Chinese Physics B 2018年第1期27卷 253-257页

作者：余敏方卯发邹红梅 Department of Physics Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Educationand Synergetic Innovation Center for Quantum Effects and Applications Hunan Normal University

We investigate the quantum speed limit time （QSLT） of a two-level atom under quantum-jump-based feedback control or homodyne-based feedback control. Our results show that the two different feedback control schemes have different influences on the evolutionary speed. By adjusting the feedback parameters, the quantum-jump-based feedback control can induce speedup of the atomic evolution from an excited state, but the homodyne-based feedback control cannot change the evolutionary speed. Additionally, the QSLT for the whole dynamical process is explored. Under the quantum-jump-based feedback control, the QSLT displays oscillatory behaviors, which implies multiple speed-up and speed-down processes during the evolution. While, the homodyne-based feedback control can accelerate the speed-up process and improve the uniform speed in the uniform evolution process.

关键词： quantum speed limit time quantum feedback control speedup

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quantum feedback control

Quantum Feedback Control

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第三十届中国控制会议

作者： M.R.James Centre for quantum Computation and Communication Technology Research School of EngineeringAustralian National UniversityCanberraACT 0200Australia

＜正＞Recent theoretical and experimental advances mean that it is now possible to control physical systems at the quantum level.Indeed,developments in quantum technology provide strong motivation for the feedback control of quantum systems. This paper will discuss both measurement feedback and coherent feedback control for quantum systems.Measurement feedback involves conditioning on the measurement information,and so we describe the Belavkin quantum filter and its use in quantum control.In contrast,coherent feedback does not involve any measurements,and we discuss some recent results on coherent feedback control.

关键词： quantum feedback control measurement feedback coherent feedback quantum feedback networks

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