Gessner Manuel, Fabre Claude, Treps Nicolas
Laboratoire Kastler Brossel, ENS-Université PSL, CNRS, Sorbonne Université, Collège de France, 24 Rue Lhomond, 75005, Paris, France.
Phys Rev Lett. 2020 Sep 4;125(10):100501. doi: 10.1103/PhysRevLett.125.100501.
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.
基于空间模式分解后的强度测量的超分辨率技术可以克服衍射极限直接成像的精度。然而，实际的测量设备在任何这种模式分解中总会引入有限的串扰。在这里，我们表明，当检测到的光子数N很大时，任何非零串扰都会导致超分辨率失效。结合统计和分析工具，我们从一个与设备无关的模型中获得了弱的、一般串扰的精度极限的标度，它是串扰概率和N的函数。与噪声可区分的最小距离的标度，从理想测量时的N^{-1/2}变为存在串扰时的N^{-1/4}。
