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Improving Parameters Precision of Quantum Estimation by Homodyne-Based Feedback Control

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Abstract

In this paper, we investigate the improvement of quantum Fisher information (QFI) of a single-qubit system coupled to a common reservoir by homodyne-based feedback control. It is shown that by controlling the polar parameter of the initial quantum state, one may improve the quantum Fisher information of the estimated parameters. By comparing the effects of different feedback control types on QFI, we find that under the homodyne-based feedback control, when the feedback Hamiltonian is selected as λσx, the estimation precision of feedback parameters and dissipation coefficient can be improved.

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Acknowledgements

This work was supported by Foundation of Science and Technology of Education office of Jiangxi province under Grant No. GJJ170449 and by the National Natural Science Foundation of China under Grant No. 61663016 and 11264015.

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  1. Fuzhou Normal College of East China University of Technology, Fuzhou, 344000, China

    Huangyun Rao

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  1. Huangyun Rao
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Correspondence to Huangyun Rao.

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Rao, H. Improving Parameters Precision of Quantum Estimation by Homodyne-Based Feedback Control. Int J Theor Phys 59, 125–133 (2020). https://doi.org/10.1007/s10773-019-04298-y

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