We propose a scheme called the weak measurement with two pointers to measure time delays in a large dynamic range with high precision. One pointer with the light frequency and the other pointer with the post-selected probability play a complementary role in the dynamic range of the time-delay estimation. By inserting the main systematic errors, we study the anti-error capability and the amplification behavior of two types of pointers, where the pointer with the post-selected probability shows stronger robustness against systematic errors and larger working range in general. The proof-of-principle experiments together with the Fisher information metric analysis show that high precision can be effectively retained in a large dynamic range of the time-delay estimation. Further implementation strategy of this scheme is also provided, which may promote the precise estimation of other parameters in a large dynamic range.

中文翻译：

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用两个指针增加弱测量的动态范围

我们提出了一种称为“弱测量”的方案，该方案具有两个指针，可以高精度地在大动态范围内测量时间延迟。具有光频率的一个指示器和具有后选概率的另一个指示器在时延估计的动态范围中起着补充作用。通过插入主要的系统错误，我们研究了两种类型的指针的抗错误能力和放大行为，其中具有后选概率的指针对系统错误具有更强的鲁棒性，并且通常具有更大的工作范围。原理验证实验和Fisher信息度量分析表明，可以在较大的动态时延估计范围内有效地保持高精度。还提供了该方案的进一步实施策略，