arXiv 2005.146962020-05quant-ph

超越巧合：使用Hong-Ou-Mandel干涉测量中的所有数据

Beyond coincidence: using all the data in Hong-Ou-Mandel interferometry

Hannah Scott, Dominic Branford, Niclas Westerberg, Jonathan Leach, Erik M. Gauger

备注：: 20 pages, 11 figures
发表信息：: Phys. Rev. A 102, 033714 (2020)
DOI：: 10.1103/PhysRevA.102.033714

摘要：

Hong-Ou-Mandel效应提供了一种通过测量在分束器处干涉的两个光子的聚束率来确定光子对的可分辨性的机制。特别感兴趣的是时间上的可重复性，其可用于探测时间延迟。光子探测器本身提供了一些时间信息，然而，虽然这种分辨率可能使干涉测量技术相形见绌，但典型的分析将干扰减少到二元事件，忽略了探测器中的时间信息。通过模拟探测器的数量和时间分辨率，我们证明了更大的精度比重合率或时间数据单独提供。此外，额外的信息可以允许同时估计时间延迟以及校准参数，从而打开免校准协议的可能性并接近量子Cramér-Rao界限的精度。

英文摘要：

The Hong-Ou-Mandel effect provides a mechanism to determine the distinguishability of a photon pair by measuring the bunching rates of two photons interfering at a beam splitter. Of particular interest is the distinguishability in time, which can be used to probe a time delay. Photon detectors themselves give some timing information, however--while that resolution may dwarf that of an interferometric technique--typical analyses reduce the interference to a binary event, neglecting temporal information in the detector. By modelling detectors with number and temporal resolution we demonstrate a greater precision than coincidence rates or temporal data alone afford. Moreover, the additional information can allow simultaneous estimation of a time delay alongside calibration parameters, opening up the possibility of calibration-free protocols and approaching the precision of the quantum Cramér-Rao bound.

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