华东师范大学学报（自然科学版） ›› 2022, Vol. 2022 ›› Issue (2): 135-142.doi: 10.3969/j.issn.1000-5641.2022.02.016

• 物理学与电子学 • 上一篇    下一篇

主动关联马赫-曾德尔干涉仪中多参数相位估值的极限

王强(), 曾杰, 焦高锋, 袁春华*()   

  1. 华东师范大学 物理与电子科学学院, 上海　200241
  • 收稿日期:2021-04-13 接受日期:2021-11-26 出版日期:2022-03-25 发布日期:2022-03-28
  • 通讯作者: 袁春华 E-mail:51184700032@stu.ecnu.edu.cn;chyuan@phy.ecnu.edu.cn
  • 基金资助:
    国家自然科学基金(1197411)

Limit of multi-parameter phase estimation in an actively correlated Mach-Zehnder interferometer

WANG Qiang(), ZENG Jie, JIAO Gaofeng, YUAN Chunhua*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
  • Received:2021-04-13 Accepted:2021-11-26 Online:2022-03-25 Published:2022-03-28
  • Contact: YUAN Chunhua E-mail:51184700032@stu.ecnu.edu.cn;chyuan@phy.ecnu.edu.cn

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摘要：

基于量子费歇尔信息和量子费希尔信息矩阵理论, 研究了三端口输入的主动关联马赫-曾德尔(Mach-Zehnder, MZ)干涉仪在两种不同输入态下的相位估值极限. 研究结果得到, 在单个端口输入任意光场的情况下, 利用相位平均和量子费歇尔信息矩阵理论消除了输入光场的涨落对相位估值极限的影响; 而在双端口输入相干态的情况下, 无法消除光场涨落对估值极限的影响, 且相位估值极限依赖于输入的双相干光的初始相位.

关键词: 主动关联马赫-曾德尔干涉仪, 量子费歇尔信息矩阵, 相位估值, 非线性分束器

Abstract:

In this paper, the phase estimation limits of an active-related Mach-Zehnder interferometer with three port inputs and two different input states was studied using quantum Fisher information and quantum Fisher information matrix theory. In the case of an arbitrary light field input to a single port, the effect of the input field fluctuation on the limit of phase estimation is eliminated by the theory of phase averaging and the quantum Fischer information matrix. In the case of a dual port input coherent state, the effect of the fluctuating light field on the estimation limit cannot be eliminated, and the phase estimation limit depends on the initial phase of the two input coherent states.

Key words: actively correlated Mach-Zehnder interferometer, quantum Fisher information matrix, phase estimation, nonlinear beam splitter

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