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Preparation of entanglement states in a two-spin system by Lyapunov-based method

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Abstract

A stable Lyapunov-based control law is proposed for entanglement states preparation in this paper. The mathematical model of a two-spin system is constructed in interaction picture. An average value of observable operator is selected as the Lyapunov function. This paper designs the observable operator to make sure that the target state is stable in Lyapunov sense. Then the authors analyze the convergence of the control system, and demonstrate that the Bell states are asymptotically stable under the control law designed. Compared with other methods, the control method proposed in this paper has the advantages of easy design and convergence to the target states. Numerical simulation experiments for the preparation of Bell states are implemented.

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Authors and Affiliations

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

    Fei Yang & Shuang Cong

  2. Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, 230026, China

    Shuang Cong

Authors
  1. Fei Yang
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  2. Shuang Cong
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Corresponding author

Correspondence to Shuang Cong.

Additional information

The research was supported by the National Key Basic Research Program under Grant No. 2009CB929601 and the National Science Foundation of China under Grant No. 61074050.

This paper was recommended for publication by Editor Yiguang HONG.

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Yang, F., Cong, S. Preparation of entanglement states in a two-spin system by Lyapunov-based method. J Syst Sci Complex 25, 451–462 (2012). https://doi.org/10.1007/s11424-012-0034-4

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  • DOI: https://doi.org/10.1007/s11424-012-0034-4

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