首 页  |  期刊简介  |  投稿须知  |  专家审稿  |  编者登陆  |  公告信息  |  联系我们  |  English
引用本文格式: Li Yan. Fisher information extraction from multipartite GHZ entanglement experiments via fidelity method [J]. J. At. Mol. Phys., 2021, 38(3): 035001 (in Chinese) [李岩. 多粒子GHZ纠缠实验中Fisher信息的保真度方法获取 [J]. 原子与分子物理学报, 2021, 38(3): 035001]
 
多粒子GHZ纠缠实验中Fisher信息的保真度方法获取
Fisher information extraction from multipartite GHZ entanglement experiments via fidelity method
摘要点击 173  全文点击 20  投稿时间:2020-09-23  修订日期:2020-10-22
查看全文  查看/发表评论  下载PDF阅读器
DOI编号   
中文关键词   多粒子GHZ纠缠态  Fisher信息  保真度  宇称测量
英文关键词   multipartite GHZ entanglement state  Fisher information  fidelity  parity measurement
基金项目   省高等学校科技创新项目(2020L512)
作者单位E-mail
李岩 太原师范学院物理系 li8989971@163.com 
中文摘要
    保真度与Fisher信息在量子精密测量和量子纠缠判定中充当着非常重要的角色。本文从概率统计和量子力学的角度出发,阐明了两者之间的区别与联系,给出了保真度方法获取Fisher信息的数学表达式;基于量子测量中常见的宇称测量模型,我们对多粒子Greenberger-Horne-Zeilinger (GHZ)纠缠产生实验中Fisher信息的获取开展了保真度方法研究,通过对实验数据的蒙特卡洛模拟,二阶或高阶曲线拟合获取了系统的Fisher信息,并将其与理论计算结果进行对比,结果表明保真度方法可以有效地获取量子系统的Fisher信息,当体系粒子数目较少时,宜采用二阶拟合方法获取系统的Fisher信息,而当粒子数目较多时,需考虑高阶拟合项的影响。此外,我们还将多光子GHZ纠缠实验中Fisher信息的保真度获取结果与海林格距离方法的获取结果进行对比,发现二者是一致的,这也进一步验证了保真度方法获取Fisher信息的有效性。本文的研究也为开展与Fisher信息相关的量子拓扑学和量子相变的研究提供了新的途径。
英文摘要
    Both fidelity and Fisher information (FI) play an important role in quantum precision measurement and quantum entanglement detection. From the point of view of probability statistics and quantum mechanics, we investigate their relationship and present the formula to obtain FI via fidelity method. Based on the common model in quantum measurement, we study the FI extraction from the multipartite Greenberger-Horne-Zeilinger (GHZ)-entanglement experiments via fidelity method. By the Monte Carlo simulation of experimental data, and second-order or high-order curve fitting, we obtain the FI and meanwhile compare it with the theoretical results. The results show that the fidelity method can efficiently extract FI from quantum systems, and the second-order curve fitting is needed for FI in few-particle case, while the higher-order curve fitting is demanded for FI in many-particle case. In addition, we compare the results of multi-photon case obtained by fidelity method with those from Hellinger distance, and find that they are the same, which further verifies the validity of the fidelity method in obtaining FI. The research also provides a new way to study quantum topology and quantum phase transition related to FI.

您是第 3694027 位访客
版权所有 @ 2006《原子与分子物理学报》编辑部
通讯地址:四川省成都市四川大学原子与分子物理研究所   邮编:成都 610065
电话:QQ: 3094757965  传真:  E-mail:jamp@scu.edu.cn
本系统由北京勤云科技发展有限公司设计