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Enhancing the precision of multi-parameter estimation for two-level open quantum system by mixed control

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Abstract

In this paper, a mixed control scheme including an appropriate adaptive feedback control and an additional adaptive control is proposed to improve the precision limit of multi-parameter estimation in an atom-cavity system, where the magnitude of a magnetic field and a decoherence parameter need to be simultaneously estimated. The effect of three different feedback types on the simultaneous estimation of these two parameters is analyzed. It is shown that the precision limit can be effectively improved under the cooperation between the adaptive feedback control and the additional adaptive control induced by an additional inverse magnetic field. In particular, the optimal feedback strength depends on the estimate of the decoherence parameter and therefore will be adaptively updated. We analyze the reason why the precision limit is improved and find that our scheme can automatically give priority to the improvement of the precision limit of the magnetic field estimation and thereby achieve the improvement of the precision limit of simultaneous estimation for the two parameters.

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Data availability

The datasets generated during this study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant 61873251.

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Authors and Affiliations

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

    Haiyuan Hong, Tianjian Huang & Sen Kuang

  2. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, 999077, China

    Xiujuan Lu

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  1. Haiyuan Hong
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  2. Tianjian Huang
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  3. Xiujuan Lu
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  4. Sen Kuang
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Correspondence to Sen Kuang.

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Hong, H., Huang, T., Lu, X. et al. Enhancing the precision of multi-parameter estimation for two-level open quantum system by mixed control. Quantum Inf Process 21, 240 (2022). https://doi.org/10.1007/s11128-022-03582-x

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