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Generalized control of quantum systems in the frame of vector treatment

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Abstract

For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.

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Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, Hefei Anhui, 230027, China

    Sen Kuang & Shuang Cong

  2. Hefei National Laboratory for Physical Sciences at the Microscale, Hefei Anhui, 230026, China

    Shuang Cong

Authors
  1. Sen Kuang
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  2. Shuang Cong
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Corresponding author

Correspondence to Sen Kuang.

Additional information

This work was partly supported by the China Postdoctoral Science Foundation Funded Project (No.20080430772), the National Natural Science Foundation of China (No.60904033) and the National Key Basic Research Program (No.2006CB922004).

Sen KUANG was born in Henan, China, in 1976. He received a B.S. degree in Industrial Automation and a M.S. degree in Control Theory and Control Engineering from Henan Polytechnic University in 1999 and in 2003, respectively. He received a Ph.D. degree in Control Theory and Control Engineering from the University of Science and Technology of China in 2007. Currently, he is a postdoctoral fellow at the University of Science and Technology of China. His current research interests include quantum feedback control and its state estimation, and quantum optimal control.

Shuang CONG was born in Anhui, China, in 1961. She received a B.S. degree in Automatic Control from the Beijing University of Aeronautics and Astronautics in 1982 and a Ph.D. degree in System Engineering from the University of Rome “La Sapienza”, Rome, Italy, in 1995. She is currently a professor in the Department of Automation at the University of Science and Technology of China. Her research interests include advanced control strategies for motion control, fuzzy logic control, neural networks design and applications, robotic coordination control, and quantum system control.

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Kuang, S., Cong, S. Generalized control of quantum systems in the frame of vector treatment. J. Control Theory Appl. 7, 395–399 (2009). https://doi.org/10.1007/s11768-009-7210-7

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  • DOI: https://doi.org/10.1007/s11768-009-7210-7

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