论文标题
使用时频作为量子连续变量的量子计量学：资源，子射击精度和相空间表示
Quantum metrology using time-frequency as quantum continuous variables: Resources, sub shot-noise precision and phase space representation
论文作者
论文摘要
我们使用单个光子作为范式系统研究电磁场的频率在时间精度测量中的作用。因此，我们独立地确定强度和频谱资源的贡献，并表明两者都可以在参数估计的精度范围内用探针数量发挥作用。我们特别表明，只有使用量子模式相关性观察二次缩放，并明确说明饱和海森堡极限的状态的数学表达。我们还提供了结果的几何和相空间解释，并通过修改状态的频谱方差来观察到尺度上的奇怪量子到古典型过渡。我们的结果通过从量子机械的角度考虑频率的作用来连接单光子和量子光学器件的离散和连续方面。
We study the role of the electromagnetic field's frequency in time precision measurements using single photons as a paradigmatic system. For such, we independently identify the contributions of intensity and spectral resources and show that both can play a role on the scaling of the precision of parameter estimation with the number of probes. We show in particular that it is possible to observe a quadratic scaling using quantum mode correlations only and explicit the mathematical expression of states saturating the Heisenberg limit. We also provide a geometrical and phase space interpretation of our results, and observe a curious quantum-to-classical-like transition on scaling by modifying the spectral variance of states. Our results connect discrete and continuous aspects of single photons and quantum optics by considering from a quantum mechanical perspective the role of frequency.
