论文标题
量子限制对分量不一致的光学成像。 ii。一种参数求婚方法
Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach
论文作者
论文摘要
在上一篇论文中[M。 Tsang，物理。 Rev. A 99，012305（2019）]，我提出了量子量的估计值，对量度不一致的光学成像中的对象矩估计。在此续集中，我通过无限维分析严格证明了量子极限。证明的关键是选择不利的参数子模型，以限制半参数问题。通过概括较大的矩量的量子极限，我还证明了仅使用一种或两种模式的空间模式反复传递（Spade）的测量方法能够达到量子极限。为了进行比较，我得出了使用参数 - 安装方法进行直接成像的经典结合，这表明直接成像基本上是较低的。
In a previous paper [M. Tsang, Phys. Rev. A 99, 012305 (2019)], I proposed a quantum limit to the estimation of object moments in subdiffraction incoherent optical imaging. In this sequel, I prove the quantum limit rigorously by infinite-dimensional analysis. A key to the proof is the choice of an unfavorable parametric submodel to give a bound for the semiparametric problem. By generalizing the quantum limit for a larger class of moments, I also prove that the measurement method of spatial-mode demultiplexing (SPADE) with just one or two modes is able to achieve the quantum limit. For comparison, I derive a classical bound for direct imaging using the parametric-submodel approach, which suggests that direct imaging is substantially inferior.
