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Multi-channel quantum parameter estimation

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  • Special Focus on Quantum Information
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Abstract

The aim of quantum metrology is to exploit quantum effects to improve the precision of parameter estimation beyond its classical limit. In this paper, we investigate the quantum parameter estimation problem with multiple channels. It is related but not limited to the following two important and practical quantum metrology problems: (i) Quantum enhanced metrology with control, whose aim is to improve the precision of quantum sensing by utilizing feedback or open-loop control; (ii) Practical quantum metrology where the underlying evolution of quantum probes may change from a unitary dynamics to an open system dynamics, owing to the inevitable decoherence during the quantum sensing operation. For various kinds of quantum multiple channels, the corresponding quantum channel Fisher information is derived. To demonstrate the results, some illustrative examples are given.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61773370, 11688101, 61833010, 61828303), and Daoyi DONG also acknowledged the partial support by Australian Research Councils Discovery Projects Funding Scheme (Grant No. DP190101566).

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Authors and Affiliations

  1. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Liying Bao, Bo Qi & Yabo Wang

  2. University of Chinese Academy of Sciences, Beijing, 100049, China

    Liying Bao, Bo Qi & Yabo Wang

  3. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT, 2600, Australia

    Daoyi Dong

  4. Department of Automation, Tsinghua University, Beijing, 100084, China

    Rebing Wu

Authors
  1. Liying Bao
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  2. Bo Qi
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  3. Yabo Wang
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  4. Daoyi Dong
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  5. Rebing Wu
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Correspondence to Bo Qi.

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Bao, L., Qi, B., Wang, Y. et al. Multi-channel quantum parameter estimation. Sci. China Inf. Sci. 65, 200505 (2022). https://doi.org/10.1007/s11432-020-3196-x

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  • DOI: https://doi.org/10.1007/s11432-020-3196-x

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