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Joint estimation of phase and phase diffusion for quantum metrology

Author

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  • Mihai D. Vidrighin

    (QOLS, Blackett Laboratory, Imperial College London
    Clarendon Laboratory, University of Oxford)

  • Gaia Donati

    (Clarendon Laboratory, University of Oxford)

  • Marco G. Genoni

    (QOLS, Blackett Laboratory, Imperial College London
    University College London)

  • Xian-Min Jin

    (Clarendon Laboratory, University of Oxford
    Shanghai Jiao Tong University)

  • W. Steven Kolthammer

    (Clarendon Laboratory, University of Oxford)

  • M.S. Kim

    (QOLS, Blackett Laboratory, Imperial College London)

  • Animesh Datta

    (Clarendon Laboratory, University of Oxford)

  • Marco Barbieri

    (Clarendon Laboratory, University of Oxford)

  • Ian A. Walmsley

    (Clarendon Laboratory, University of Oxford)

Abstract

Phase estimation, at the heart of many quantum metrology and communication schemes, can be strongly affected by noise, whose amplitude may not be known, or might be subject to drift. Here we investigate the joint estimation of a phase shift and the amplitude of phase diffusion at the quantum limit. For several relevant instances, this multiparameter estimation problem can be effectively reshaped as a two-dimensional Hilbert space model, encompassing the description of an interferometer phase probed with relevant quantum states—split single-photons, coherent states or N00N states. For these cases, we obtain a trade-off bound on the statistical variances for the joint estimation of phase and phase diffusion, as well as optimum measurement schemes. We use this bound to quantify the effectiveness of an actual experimental set-up for joint parameter estimation for polarimetry. We conclude by discussing the form of the trade-off relations for more general states and measurements.

Suggested Citation

  • Mihai D. Vidrighin & Gaia Donati & Marco G. Genoni & Xian-Min Jin & W. Steven Kolthammer & M.S. Kim & Animesh Datta & Marco Barbieri & Ian A. Walmsley, 2014. "Joint estimation of phase and phase diffusion for quantum metrology," Nature Communications, Nature, vol. 5(1), pages 1-7, May.
    • Handle: RePEc:nat:natcom:v:5:y:2014:i:1:d:10.1038_ncomms4532
    DOI: 10.1038/ncomms4532
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    Cited by:

    1. Binke Xia & Jingzheng Huang & Hongjing Li & Han Wang & Guihua Zeng, 2023. "Toward incompatible quantum limits on multiparameter estimation," Nature Communications, Nature, vol. 14(1), pages 1-12, December.

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