Reasonable method to extract Fisher information from experimental data

被引：7
作者：
Li, Yan [1 ,2 ]
Li, Weidong [1 ,2 ]
机构：
[1] Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Inst Theoret Phys, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, State Key Lab Quantum Opt & Quantum Opt Devices, Dept Phys, Taiyuan 030006, Shanxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 514卷
基金：
中国国家自然科学基金;
关键词：
Fisher information; Hellinger distance; Kullback-Leibler entropy; Higher-order fitting; STATISTICAL DISTANCE; ENTANGLEMENT;
D O I：
10.1016/j.physa.2018.09.118
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 Fl with both methods has two constraints: one is the critical visibility V-0 =root 2/3, the other is the smallest delta theta for the dichotomic measurement. To relax them, we propose the higher-order fitting (fourth order considered), by which a reasonable Fl is obtained from recent optical experimental data. (C) 2018 Elsevier B.V. All rights reserved.
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页码：606 / 611
页数：6
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