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State transfer based on decoherence-free target state by Lyapunov-based control

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Abstract

We propose a Lyapunov-based control approach for state transfer based on the decoherence-free target state. The expected target state is constructed to be a decoherence-free state in a decoherence-free subspace (DFS) by an external laser field I, so that the system state can be decoupled from the environment, and no more decoherence process will occur. With the decoherence-free target state, we design a Lyapunov-based control field II to steer the given initial state to the decoherence-free state of open quantum systems as completely as possible, and decouple the system state from the environment at the same time. In the end, it is verified that the state transfer control designed comes true on a Λ-type four-level atomic system, and the system can stay on the decoherence-free target state without coupling to environment.

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Authors and Affiliations

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

    Jie Yang, Shuang Cong & Fei Yang

Authors
  1. Jie Yang
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  2. Shuang Cong
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  3. Fei Yang
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Corresponding author

Correspondence to Jie Yang.

Additional information

This work was partly supported by the National Key Basic Research Program (No. 2011CBA00200), the Natural Science Foundation of China (No. 61074050), and the Doctoral Fund of Ministry of Education of China (No. 20103402110044).

Jie YANG received her B.S. degree in Automatic Control from the University of Science and Technology of China in 2006. She is currently a Ph.D. student in the Department of Automation at the University of Science and Technology of China. Her research interests include modeling of open quantum system, optimal control and Lyapunov-based control of open quantum system

Shuang CONG was born in Hefei, China in 1961. She received her B.S. degree in Automatic Control from 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.

Fei YANG was born in Chongqing, China in 1986. He received his B.S. degree in Automatic Control from the University of Science and Technology of China in 2008. He is currently a Ph.D. student in the Department of Automation at the University of Science and Technology of China. His research interests include quantum control, optimal control, quantum state control, decoherence control, and Lyapunov-based control of quantum system.

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Yang, J., Cong, S. & Yang, F. State transfer based on decoherence-free target state by Lyapunov-based control. J. Control Theory Appl. 10, 549–553 (2012). https://doi.org/10.1007/s11768-012-0174-z

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  • DOI: https://doi.org/10.1007/s11768-012-0174-z

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