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Reasonable method to extract Fisher information from experimental data

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  • Li, Yan
  • Li, Weidong

Abstract

Fisher information (FI) plays a crucial role in quantum precision measurement and entanglement detection. Recently two methods have been suggested to extract it from experimental data: Hellinger distance and Kullback–Leibler entropy. In this paper, an extensive investigation is considered with the help of a dichotomic measurement model. It is found that the general quadratic fitting for FI with both methods has two constraints: one is the critical visibility V0=2∕3, the other is the smallest δθ for the dichotomic measurement. To relax them, we propose the higher-order fitting (fourth order considered), by which a reasonable FI is obtained from recent optical experimental data.

Suggested Citation

  • Li, Yan & Li, Weidong, 2019. "Reasonable method to extract Fisher information from experimental data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 606-611.
    • Handle: RePEc:eee:phsmap:v:514:y:2019:i:c:p:606-611
    DOI: 10.1016/j.physa.2018.09.118
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