Laboratoire Kastler Brossel, Sorbonne Université, ENS-Université PSL, CNRS, Collége de France, 4 Place Jussieu, F-75252 Paris, France.
Phys Rev Lett. 2021 Sep 17;127(12):123604. doi: 10.1103/PhysRevLett.127.123604.
Recent works identified resolution limits for the distance between incoherent point sources. However, it remains unclear how to choose suitable observables and estimators to reach these limits in practical situations. Here, we show how estimators saturating the Cramér-Rao bound for the distance between two thermal point sources can be constructed using an optimally designed observable in the presence of practical imperfections, such as misalignment, cross talk, and detector noise.
最近的研究确定了非相干点源之间的距离的分辨率限制。然而,在实际情况下,如何选择合适的可观测量和估计器以达到这些限制仍然不清楚。在这里,我们展示了如何在存在实际缺陷(例如失准、串扰和探测器噪声)的情况下,使用最佳设计的可观测量来构建可饱和两个热点源之间距离的克拉美罗界(Cramér-Rao bound)的估计器。