论文标题
量子干涉法中的单参数Fisher信息
Single- versus two-parameter Fisher information in quantum interferometry
论文作者
论文摘要
在本文中，我们重新考虑了单个参数量子渔民信息（QFI），并将其与两参数之一进行比较。我们发现将单个参数QFI（在非对称和对称相移外壳中）连接到两个参数Fisher矩阵系数的简单关系。在澄清了外部阶段的作用[phys。 Rev. A 85，011801（r）（2012）]，单参数QFI及其过度自然的预测在文献中被忽略了。我们在本文中表明，单参数和两参数QFI具有物理含义，其预测的量子cramér-rao界限通常可以通过适当的实验设置来实现。此外，我们给出了量子计量学兴趣的实际情况，其中许多输入状态的相敏感性接近了由单参数QFI引起的量子cramér-rao，表现优于两参数qfi。
In this paper we reconsider the single parameter quantum Fisher information (QFI) and compare it with the two-parameter one. We find simple relations connecting the single parameter QFI (both in the asymmetric and symmetric phase shift cases) to the two parameter Fisher matrix coefficients. Following some clarifications about the role of an external phase [Phys. Rev. A 85, 011801(R) (2012)], the single-parameter QFI and its over-optimistic predictions have been disregarded in the literature. We show in this paper that both the single- and two-parameter QFI have physical meaning and their predicted quantum Cramér-Rao bounds are often attainable with the appropriate experimental setup. Moreover, we give practical situations of interest in quantum metrology, where the phase sensitivities of a number of input states approach the quantum Cramér-Rao bound induced by the single-parameter QFI, outperforming the two-parameter QFI.
