论文标题
量子计量学中光相传感的相对相分布和光相的精度
Relative Phase Distribution and the Precision of Optical Phase Sensing in Quantum Metrology
论文作者
论文摘要
量子计量目标之一是提高测量在干涉仪中以一个光学模式引入的小光学相的精度，即相位传感。在本文中，我们获得了Luis和Sánchez-Soto（LSS）引入的相对相分布[Phys。 Rev. a $ \ mathbf {53} $，495（1996）]，用于几种两种模式纯量子光态在量子计量学中有用。我们表明，在计算的数值精度中，从LSS相对相分布获得的Fisher信息等于所考虑的状态的量子Fisher信息（测试状态的平均差异小于0.1％）。我们的结果表明，LSS相对相分布可用于预测量子计量学相传感过程中可能的最小不确定性，因为这种不确定性取决于量子渔民信息，至少对于纯状态而言。
One of the quantum metrology goals is to improve the precision in the measurement of a small optical phase introduced in one optical mode in an interferometer, i.e., phase sensing. In this paper, we obtain the relative phase distribution introduced by Luis and Sánchez-Soto (LSS) [Phys. Rev. A $\mathbf{53}$, 495 (1996)] for several two-mode pure quantum light states useful in quantum metrology. We show that, within the numerical precision of our calculations, the Fisher information obtained from the LSS relative phase distribution is equal to the quantum Fisher information for the considered states (the average difference for the tested states is smaller than 0.1%). Our results indicate that the LSS relative phase distribution can be used to predict the minimum uncertainty possible in the process of phase sensing in quantum metrology, since this uncertainty depends on the quantum Fisher information, at least for pure states.
