量子增强时变参数估计研究进展  

Progress on Quantum-Enhanced Time-Varying Parameter Estimation

作　　者：郑凯敏 张利剑 Zheng Kaimin;Zhang Lijian(National Laboratory of Solid State Microstructures,Nanjing University,Nanjing 210023,Jiangsu,China;Key Laboratory of Intelligent Optical Sensing and Manipulation,Ministry of Education,Nanjing 210023,Jiangsu,China;Collaborative Innovation Center of Advanced Microstructures,Nanjing 210023,Jiangsu,China;College of Engineering and Applied Sciences,Nanjing University,Nanjing 210023,Jiangsu,China)

机构地区：[1]南京大学固体微结构物理国家重点实验室,江苏南京210023 [2]智能光传感与调控技术教育部重点实验室,江苏南京210023 [3]人工微结构科学与技术协同创新中心,江苏南京210023 [4]南京大学现代工程与应用科学学院,江苏南京210023

出　　处：《激光与光电子学进展》2023年第11期112-119,共8页Laser & Optoelectronics Progress

基　　金：国家重点研发计划(2019YFA0308704,2018YFA0306202);国家自然科学基金(61975077)。

摘　　要：量子精密测量可以提供超越传统测量方法极限的测量精度和分辨能力。在过去几十年里,固定参数的量子增强技术取得了长足的进展。时变参数估计是引力波探测、导航定位等实际工程应用中的关键问题之一。因此,设计有效的量子增强时变参数估计方案并完善时变参数估计理论也是量子精密测量中的重要研究内容。最近研究发现时变参数估计的精度极限与信号自身连续性质密切相关。同时,与固定信号测量类似,压缩态等非经典资源也可以提高时变参数估计的精度。介绍了几种时变参数估计的精度极限,并总结了国内外量子增强时变参数估计的相关研究进展。The quantum precision measurement method achieves higher accuracy and resolution than conventional measurement methods.Over the past few decades,there is significant progress in the field of quantum-enhanced metrology with respect to the estimation of fixed parameters.However,estimating time-varying parameters is one of the key tasks in numerous practical engineering applications,such as gravitational wave detection,navigation,and positioning.Therefore,designing an effective quantum-enhanced time-varying parameter-estimation method and perfecting the time-varying parameter-estimation theory are important research components related to quantum precision measurement.Recent studies have demonstrated that the accuracy limits of time-varying parameter estimation are closely related to the continuous nature of the signal itself.Moreover,similar to fixed signal measurements,nonclassical sources such as squeezed states can improve the accuracy of time-varying parameter estimation.This review introduces several accuracy limits related to time-varying parameter estimation and summarizes the related research progress.

关 键 词：卡尔曼滤波 Heisenberg极限 Bayesian估计 Ornstein-Uhlenbeck随机信号 光子通量 

分 类 号：O436[机械工程—光学工程]