关于噪声分辨对偶性、海森堡不确定性和香农信息
On the noise-resolution duality, Heisenberg uncertainty and Shannon's information
摘要：
基于作者最近提出的“噪声分辨对偶”，导出了海森堡测不准不等式的几种变形。同样的方法导致了一个相关的不等式，该不等式为成像系统的信息容量提供了实验中使用的成像量子（粒子）数量的上限。这些结果可以是有用的，在生物医学成像的上下文中的辐射剂量传递到样品的约束，或在成像（如天文）的问题，在“低光”条件下。
英文摘要：
Several variations of the Heisenberg uncertainty inequality are derived on the basis of "noise-resolution duality" recently proposed by the authors. The same approach leads to a related inequality that provides an upper limit for the information capacity of imaging systems in terms of the number of imaging quanta (particles) used in the experiment. These results can be useful in the context of biomedical imaging constrained by the radiation dose delivered to the sample, or in imaging (e.g. astronomical) problems under "low light" conditions.
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。
