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arXiv 1507.05010quant-ph
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用高阶强度相关估计源尺度的精度

Precision Estimation of Source Dimensions from Higher-Order Intensity Correlations

Mark E. Pearce, Thomas Mehringer, J. von Zanthier, Pieter Kok

发表信息：
Phys. Rev. A 92, 043831 (2015)
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摘要：

成像中感兴趣的一个重要主题是不受衍射限制的协议的构建。这可以通过多种方式实现，包括经典的超分辨技术或基于量子纠缠的协议。在这里，我们考虑在远场使用高阶强度相关的超分辨成像。我们表明，三阶和四阶相关性可以改善传统上用于经典光学和Hanbury Brown和Twiss型实验的一阶和二阶相关性。这种改进完全是通过对数据的后处理来实现的。作为演示，我们模拟了发射热光的圆孔的远场强度分布，并使用极大似然估计来确定孔径的半径。我们比较所达到的精度与Cramér-Rao下界，发现三阶和四阶关联函数的测量方差确实比二阶关联函数的测量方差更接近Cramér-Rao界。该方法具有通用性，适用于各种非相干辐射源、几何形状和噪声类型。

英文摘要：

An important topic of interest in imaging is the construction of protocols that are not diffraction limited. This can be achieved in a variety of ways, including classical superresolution techniques or quantum entanglement-based protocols. Here, we consider superresolving imaging in the far field using higher-order intensity correlations. We show that third and fourth order correlations can improve upon the first and second order correlations that are traditionally used in classical optics and Hanbury Brown and Twiss type experiments. The improvement is achieved entirely by post-processing of the data. As a demonstrator, we simulate the far field intensity distribution of a circular aperture that emits thermal light and use maximum likelihood estimation to determine the radius of the aperture. We compare the achieved precision to the Cramér-Rao lower bound and find that the variance of measurements for the third and fourth order correlation functions are indeed closer to the Cramér-Rao bound than that of the second order correlation function. The method presented here is general, and can be used for all kinds of incoherent emitters, geometries, and types of noise.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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