Reasonable method to extract Fisher information from experimental data

Yan Li and Weidong Li

Physica A: Statistical Mechanics and its Applications, 2019, vol. 514, issue C, 606-611

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.

Keywords: Fisher information; Hellinger distance; Kullback–Leibler entropy; Higher-order fitting (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:514:y:2019:i:c:p:606-611

DOI: 10.1016/j.physa.2018.09.118

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