Closed-Loop and Robust Control of Quantum Systems

For most practical quantum control systems, it is important and difficult to attain robustness and reliability due to unavoidable uncertainties in the system dynamics or models. Three kinds of typical approaches (e.g., closed-loop learning control, feedback control, and robust control) have been pro...

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Main Authors: Chunlin Chen, Lin-Cheng Wang, Yuanlong Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/869285
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author Chunlin Chen
Lin-Cheng Wang
Yuanlong Wang
author_facet Chunlin Chen
Lin-Cheng Wang
Yuanlong Wang
author_sort Chunlin Chen
collection DOAJ
description For most practical quantum control systems, it is important and difficult to attain robustness and reliability due to unavoidable uncertainties in the system dynamics or models. Three kinds of typical approaches (e.g., closed-loop learning control, feedback control, and robust control) have been proved to be effective to solve these problems. This work presents a self-contained survey on the closed-loop and robust control of quantum systems, as well as a brief introduction to a selection of basic theories and methods in this research area, to provide interested readers with a general idea for further studies. In the area of closed-loop learning control of quantum systems, we survey and introduce such learning control methods as gradient-based methods, genetic algorithms (GA), and reinforcement learning (RL) methods from a unified point of view of exploring the quantum control landscapes. For the feedback control approach, the paper surveys three control strategies including Lyapunov control, measurement-based control, and coherent-feedback control. Then such topics in the field of quantum robust control as H∞ control, sliding mode control, quantum risk-sensitive control, and quantum ensemble control are reviewed. The paper concludes with a perspective of future research directions that are likely to attract more attention.
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spelling doaj-art-bdc77b42274e4ec7976cd91babf588142025-08-20T02:19:12ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/869285869285Closed-Loop and Robust Control of Quantum SystemsChunlin Chen0Lin-Cheng Wang1Yuanlong Wang2Department of Control and System Engineering, Nanjing University, Nanjing 210093, ChinaSchool of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, ChinaInstitute of Cyber-Systems and Control, State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, ChinaFor most practical quantum control systems, it is important and difficult to attain robustness and reliability due to unavoidable uncertainties in the system dynamics or models. Three kinds of typical approaches (e.g., closed-loop learning control, feedback control, and robust control) have been proved to be effective to solve these problems. This work presents a self-contained survey on the closed-loop and robust control of quantum systems, as well as a brief introduction to a selection of basic theories and methods in this research area, to provide interested readers with a general idea for further studies. In the area of closed-loop learning control of quantum systems, we survey and introduce such learning control methods as gradient-based methods, genetic algorithms (GA), and reinforcement learning (RL) methods from a unified point of view of exploring the quantum control landscapes. For the feedback control approach, the paper surveys three control strategies including Lyapunov control, measurement-based control, and coherent-feedback control. Then such topics in the field of quantum robust control as H∞ control, sliding mode control, quantum risk-sensitive control, and quantum ensemble control are reviewed. The paper concludes with a perspective of future research directions that are likely to attract more attention.http://dx.doi.org/10.1155/2013/869285
spellingShingle Chunlin Chen
Lin-Cheng Wang
Yuanlong Wang
Closed-Loop and Robust Control of Quantum Systems
The Scientific World Journal
title Closed-Loop and Robust Control of Quantum Systems
title_full Closed-Loop and Robust Control of Quantum Systems
title_fullStr Closed-Loop and Robust Control of Quantum Systems
title_full_unstemmed Closed-Loop and Robust Control of Quantum Systems
title_short Closed-Loop and Robust Control of Quantum Systems
title_sort closed loop and robust control of quantum systems
url http://dx.doi.org/10.1155/2013/869285
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AT linchengwang closedloopandrobustcontrolofquantumsystems
AT yuanlongwang closedloopandrobustcontrolofquantumsystems