Coherent <i>H</i><sup>∞</sup> Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

Chengdi Xiang; Shan Ma; Sen Kuang; Daoyi Dong

doi:10.1109/JAS.2020.1003429

Volume 8 Issue 2

Feb. 2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2021 > 8(2): 432-440

Chengdi Xiang, Shan Ma, Sen Kuang and Daoyi Dong, "Coherent H∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 432-440, Feb. 2021. doi: 10.1109/JAS.2020.1003429

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Chengdi Xiang, Shan Ma, Sen Kuang and Daoyi Dong, "Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian," IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 432-440, Feb. 2021. doi: 10.1109/JAS.2020.1003429

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Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

doi: 10.1109/JAS.2020.1003429

Funds: This work was supported by the National Natural Science Foundation of China (61803132, 61828303, 61803389), the U.S. Office of Naval Research Global (N62909-19-1-2129), and the Australian Research’s Discovery Projects Funding Scheme under Project DP190101566

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Author Bio:
Chengdi Xiang received the B.E. degree in electrical engineering from Qingdao Technological University in 2010. She also received the M.E. degree and M.E. honour degree in engineering from the Australian National University, Australia, in 2011 and 2012, respectively. She received the Ph.D degree in electrical engineering from University of New SouthWales, Australia, in 2016. She was a Research Associate in the School of Engineering and Information Technology, University of of New South Wales, Canberra, in 2016. She is currently an Associate Professor with the School of Automation, Hangzhou Dianzi University. Her research interests include quantum coherent control, quantum feedback control, and robust control

Shan Ma received the B.Eng. degree from Huazhong University of Science and Technology in 2010, M.Eng. degree from University of Science and Technology of China in 2013, and Ph.D. degree from UNSW Canberra in Australia in 2017. From November 2016 to April 2017, he was a Visiting Scholar in the Department of Electrical and Computer Engineering, Wayne State University, USA. He is currently a Lecturer in the School of Automation at Central South University. His research interests include quantum control and continuous variable quantum information

Sen Kuang received the Ph.D. degree in control theory and control engineering from the University of Science and Technology of China (USTC) in 2007. From 2007 to 2010, he was a Post-Doctoral Fellow with the School of Information Science and Technology, USTC. He visited The University of Hong Kong, Hong Kong, China, in 2010 and 2015. From 2014 to 2015, he was a Visiting Scholar with the University of New South Wales, Australia. He is currently an Associate Professor with the Department of Automation, USTC. His current research interests include quantum information and control, (quantum) artificial intelligence, and intelligent control and its applications

Daoyi Dong received the B.E. degree in automatic control and the Ph.D. degree in engineering from the University of Science and Technology of China in 2001 and 2006, respectively. Currently, he is a Scientia Associate Professor at the University of New South Wales, Australia. He was with the Institute of Systems Science, Chinese Academy of Sciences and with the Institute of Cyber-Systems and Control, Zhejiang University. He had visiting positions at Princeton University, USA, University of Duisburg-Essen, Germany, RIKEN, Wako-Shi, Japan, and The University of Hong Kong, Hong Kong, China. His research interests include quantum control, complex systems, and machine learning. Dr. Dong was awarded an ACA Temasek Young Educator Award by The Asian Control Association and is a recipient of an International Collaboration Award, a Humboldt Research Fellowship from the Alexander von Humboldt Foundation of Germany and an Australian PostDoctoral Fellowship from the Australian Research Council. He serves as an Associate Editor of IEEE Transactions on Neural Networks and Learning Systems
Corresponding author: S. Ma is with the School of Automation, Central South University, Changsha 410083, China (e-mail: shanma.adfa@gmail.com)
Received Date: 2020-07-03
Revised Date: 2020-08-10
Accepted Date: 2020-08-28

Available Online: 2020-09-10

Abstract

Abstract

This work conducts robust H^∞ analysis for a class of quantum systems subject to perturbations in the interaction Hamiltonian. A necessary and sufficient condition for the robustly strict bounded real property of this type of uncertain quantum system is proposed. This paper focuses on the study of coherent robust H^∞ controller design for quantum systems with uncertainties in the interaction Hamiltonian. The desired controller is connected with the uncertain quantum system through direct and indirect couplings. A necessary and sufficient condition is provided to build a connection between the robust H^∞ control problem and the scaled H^∞ control problem. A numerical procedure is provided to obtain coefficients of a coherent controller. An example is presented to illustrate the controller design method.
- Coherent feedback control,
- robust control,
- uncertain quantum system

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References(49)

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This paper considers a class of quantum systems with uncertainties in the interaction Hamiltonian.
A necessary and sufficient condition for the robustly strict bounded real property of this type of uncertain quantum system is proposed.
A coherent robust controller design method via direct and indirect couplings is studied for this type of uncertain quantum system.

Coherent H∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

doi: 10.1109/JAS.2020.1003429

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Coherent H^∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian