论文标题

估计光束模态结构中编码的参数:量子理论

Estimation of a parameter encoded in the modal structure of a light beam: a quantum theory

论文作者

Gessner, Manuel, Treps, Nicolas, Fabre, Claude

论文摘要

量子光不仅用量子状态描述,而且还通过定义状态的电磁模式的形状来描述。光学精度测量通常估计``模式参数'',该``模式参数''确定诸如频率,时间形状和光场的空间分布之类的属性。通过得出量子精度限制,我们建立了模式参数估计的基本界限。我们的结果揭示了具有量子增强精度的任何模式参数的估计,可以估算任何模式参数。我们的方法提供了使用相关应用的优化模式参数估计的实用方法,包括空间和时间定位,光谱,相位估计和超分辨率成像。

Quantum light is described not only by a quantum state but also by the shape of the electromagnetic modes on which the state is defined. Optical precision measurements often estimate a ``mode parameter'' that determines properties such as frequency, temporal shape and the spatial distribution of the light field. By deriving quantum precision limits, we establish the fundamental bounds for mode parameter estimation. Our results reveal explicit mode-design recipes that enable the estimation of any mode parameter with quantum enhanced precision. Our approach provides practical methods for optimizing mode parameter estimation with relevant applications, including spatial and temporal positioning, spectroscopy, phase estimation, and superresolution imaging.

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