论文标题
瑞利（Rayleigh
Generalization of Rayleigh's Criterion on Parameter Estimation with Incoherent Sources
论文作者
论文摘要
瑞利（Rayleigh）在解决两个不一致的光点源的标准背后的基本思想是，来自不同来源的空间模式之间的重叠将降低来源位置的估计精度，称为Rayleigh的诅咒。我们将雷利（Rayleigh）诅咒的概念概括为与不连贯来源的量子参数估计的抽象问题。为了体现雷利对量子参数估计的影响，我们根据量子渔民信息定义了诅咒矩阵，并将全球和局部免疫引入诅咒。我们进一步得出了诅咒矩阵的表达，并为瑞利诅咒的免疫提供了必要的条件。为了估计具有共同初始状态的一维位置参数，我们证明了对量子渔民信息的诅咒的全球免疫力对于两个以上的来源是不可能的。
The basic idea behind Rayleigh's criterion on resolving two incoherent optical point sources is that the overlap between the spatial modes from different sources would reduce the estimation precision for the locations of the sources, dubbed Rayleigh's curse. We generalize the concept of Rayleigh's curse to the abstract problems of quantum parameter estimation with incoherent sources. To manifest the effect of Rayleigh's curse on quantum parameter estimation, we define the curse matrix in terms of quantum Fisher information and introduce the global and local immunity to the curse accordingly. We further derive the expression for the curse matrix and give the necessary and sufficient condition on the immunity to Rayleigh's curse. For estimating the one-dimensional location parameters with a common initial state, we demonstrate that the global immunity to the curse on quantum Fisher information is impossible for more than two sources.
