Joint optimal measurement for locating two incoherent optical point sources near the Rayleigh distance  

作　　者：Yingying Shi Xiao-Ming Lu 

机构地区：[1]School of Sciences,Hangzhou Dianzi University,Hangzhou 310018,China

出　　处：《Communications in Theoretical Physics》2023年第4期10-15,共6页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grants No.12275062,No.11935012,and No.61871162)。

摘　　要：Simultaneously optimizing the estimation of the centroid and separation of two incoherent optical point sources is constrained by a tradeoff relation determined by an incompatibility coefficient.At the Rayleigh distance,the incompatibility coefficient vanishes and thus the tradeoff relation no longer restricts the simultaneous optimization of measurement for a joint estimation.We construct such a joint optimal measurement by an elaborated analysis on the operator algebra of the symmetric logarithmic derivative.Our work not only confirms the existence of a joint optimal measurement for this specific imaging model,but also gives a promising method to characterize the condition on measurement compatibility for general multiparameter estimation problems.

关 键 词：quantum metrology quantum parameter estimation quantum measurement quantum imaging 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]