量子电子学报2025，Vol.42Issue(4)：464-475,12.DOI:10.3969/j.issn.1007-5461.2025.04.003
反馈控制增强的量子多参数估计研究
Quantum multiparameter estimation enhanced by feedback control
摘要
Abstract
The quantum precision measurement technology based on the theory of quantum parameter estimation has attracted extensive attention due to its detection advantages beyond the standard quantum limit.In many application scenarios,it often involves the simultaneous and precise detection of multiple parameters.However,since the generators of multiple parameters to be estimated are generally non-commutative,this leads to a trade-off in the estimation precision among different parameters,making it challenging to achieve simultaneous optimal estimation for all parameters.In recent years,instead of preparing large-scale entangled states,squeezed states or designing complex quantum measurement schemes,researchers have started from the perspective of optimizing the evolution of quantum dynamics by introducing quantum control to each component of quantum dynamics systems to adjust the evolution of quantum states.This kind of method can achieve simultaneous optimal estimation of multiple parameters,so the trade-off between multiple estimation precisions can be overcome,and a better quantum Cramér-Rao bound can be reached.In this paper,we summarize the quantum multiparameter estimation methods based on feedback control,expound on the improvement effect of feedback control on the simultaneous optimal estimation of multiple parameters from multiple perspectives,and demonstrate the potential of this technology in practical applications.Finally,the future research trends of quantum multiparameter estimation are summarized and prospected.关键词
量子信息/量子精密测量/多参数估计理论/量子控制/量子克拉美罗界Key words
quantum information/quantum precision measurement/multiparameter estimation theory/quantum control/quantum Cramér-Rao bound分类
数理科学引用本文复制引用
杨玉,张沛,李福利..反馈控制增强的量子多参数估计研究[J].量子电子学报,2025,42(4):464-475,12.基金项目
国家自然科学基金青年项目和面上项目(12204371,12174301),陕西数理基础科学研究青年项目和重点项目(23JSQ012,22JSZ004) （12204371,12174301）
