Statistical inference from imperfect photon detection

Statistical inference from imperfect photon detection
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不完美光子检测的统计推断

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
S. Scheel
S. Scheel
中科院分区:
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文献类型:
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作者:
K. Audenaert;S. Scheel

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在层析重建的背景下,我们考虑了光子探测的统计性质,这些光子探测具有不完美的检测器,它们表现出暗计数和低于单位效率。在这种情况下,探测器被用来实现某些正算符值测量(povm),这将允许我们重建所考虑的量子态或量子过程。在这里,我们看看从测量的结果频率推断结果概率的中间步骤,并展示如何在检测器存在缺陷的情况下以统计上合理的方式执行此推断。将不同povm集合的结果概率合并到一致的量子态图像中已经在其他地方得到了处理(Audenaert和Scheel 2009 New J. Phys. 11 023028)。包括单光子脉冲测量和连续波测量。
We consider the statistical properties of photon detection with imperfect detectors that exhibit dark counts and less than unit efficiency, in the context of tomographic reconstruction. In this context, the detectors are used to implement certain positive operator-valued measures (POVMs) that would allow us to reconstruct the quantum state or quantum process under consideration. Here we look at the intermediate step of inferring outcome probabilities from measured outcome frequencies, and show how this inference can be performed in a statistically sound way in the presence of detector imperfections. Merging outcome probabilities for different sets of POVMs into a consistent quantum state picture has been treated elsewhere (Audenaert and Scheel 2009 New J. Phys. 11 023028). Single-photon pulsed measurements as well as continuous wave measurements are covered.