论文标题
测量串扰的超分辨率限制
Superresolution Limits from Measurement Crosstalk
论文作者
论文摘要
在空间模式分解后，基于强度测量的上分辨率技术可以克服衍射受限的直接成像的精度。但是，现实的测量设备始终在任何此类模式分解中引入有限的串扰。在这里，我们表明，当检测到的光子的数字$ n $很大时，任何非零的串扰都会导致超分辨率分解。结合统计和分析工具，我们从独立的模型中获得了弱的，通用串扰的精度限制，这是串扰概率和$ n $的函数。在串扰存在的情况下，最小的距离可以区分的最小距离从$ n^{ - 1/2} $变化为$ n^{ - 1/4} $。
Superresolution techniques based on intensity measurements after a spatial mode decomposition can overcome the precision of diffraction-limited direct imaging. However, realistic measurement devices always introduce finite crosstalk in any such mode decomposition. Here, we show that any nonzero crosstalk leads to a breakdown of superresolution when the number $N$ of detected photons is large. Combining statistical and analytical tools, we obtain the scaling of the precision limits for weak, generic crosstalk from a device-independent model as a function of the crosstalk probability and $N$. The scaling of the smallest distance that can be distinguished from noise changes from $N^{-1/2}$ for an ideal measurement to $N^{-1/4}$ in the presence of crosstalk.
