具有后选择测量的多参数量子计量

Le Bin Ho, Yasushi Kondo
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引用次数: 6

摘要

我们根据权衡关系分析了具有后选择测量的多个参数的同时量子估计。该系统或传感器的特征是一组参数,与测量仪器(MA)相互作用,然后被后选到一组标准正交的最终状态。对MA的测量产生对参数的估计。我们首先推导了经典和量子Cram\'er ' - rao下界,然后讨论了它们的可存档条件和一般后选择测量中的权衡,包括传感器处于混合状态时的情况。原则上,它的全部信息可以通过MA获得,而没有后选是不可能的。然后,我们将该框架应用于相位及其涨落的同时测量作为一个例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multiparameter quantum metrology with postselection measurements
We analyze simultaneous quantum estimations of multiple parameters with postselection measurements in terms of a tradeoff relation. The system, or a sensor, is characterized by a set of parameters, interacts with a measurement apparatus (MA), and then is postselected onto a set of orthonormal final states. Measurements of the MA yield an estimation of the parameters. We first derive classical and quantum Cram\'er-Rao lower bounds and then discuss their archivable condition and the tradeoffs in the postselection measurements in general, including the case when a sensor is in mixed state. Its whole information can, in principle, be obtained via the MA which is not possible without postselection. We, then, apply the framework to simultaneous measurements of phase and its fluctuation as an example.
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