论文标题
基于关节弱测量值的精确计量学的质量分析而无需丢弃读数数据
Quality analysis for precision metrology based on joint weak measurements without discarding readout data
论文作者
论文摘要
我们对关节弱测量值（JWM）的计量质量进行了理论分析，并与弱值放大技术（WVA）技术进行了密切比较。我们指出，JWM方案中采用的差异概率函数不能用于计算不确定性差异和Fisher信息（FI）。为了实现计量学的精确度，我们根据差异的随机变量对问题进行了重新制定，这使所有计算都定义得很好。我们透露，尽管总体而言，所有读数都是在不丢弃的情况下收集的，但总体而言，JWM方案的计量精度无法达到总FI所指示的。我们还分析了技术噪声的效果，表明在考虑想象中的WV测量时，可以通过减法程序消除技术噪声。
We present a theoretical analysis for the metrology quality of joint weak measurements (JWM), in close comparison with the weak-value-amplification (WVA) technique. We point out that the difference probability function employed in the JWM scheme cannot be used to calculate the uncertainty variance and Fisher information (FI). In order to carry out the metrological precision, we reformulate the problem in terms of difference-combined stochastic variables, which makes all calculations well defined. We reveal that, in general, the metrological precision of the JWM scheme cannot reach that indicated by the total FI, despite that all the readouts are collected without discarding. We also analyze the effect of technical noise, showing that the technical noise cannot be removed by the subtracting procedure, which yet can be utilized to outperform the conventional measurement, when considering the imaginary WV measurement.
