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arXiv 2109.09368quant-ph
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Hong-Ou-Mandel干涉测量中的半参数估计

Semiparametric estimation in Hong-Ou-Mandel interferometry

Valeria Cimini, Francesco Albarelli, Ilaria Gianani, Marco Barbieri

摘要:

我们将半参数估计理论应用于自发参量下转换产生的光谱纠缠双光子态的Hong-Ou-Mandel干涉实验。由于半参数的方法,我们可以评估的Cramér-Rao界,并找到一个特定的参数的最佳估计,而无需假设完美的知识的双光子波函数,正式处理为一个无穷的讨厌的参数。特别是,我们专注于边缘对称波函数的厄米-高斯分量的估计,其傅立叶变换支配的时间重合轮廓的形状。我们发现这些分量的负性是双光子态的纠缠见证。

英文摘要:

We apply the theory of semiparametric estimation to a Hong-Ou-Mandel interference experiment with a spectrally entangled two-photon state generated by spontaneous parametric downconversion. Thanks to the semiparametric approach we can evaluate the Cramér-Rao bound and find an optimal estimator for a particular parameter of interest without assuming perfect knowledge of the two-photon wave function, formally treated as an infinity of nuisance parameters. In particular, we focus on the estimation of the Hermite-Gauss components of the marginal symmetrised wavefunction, whose Fourier transform governs the shape of the temporal coincidence profile. We show that negativity of these components is an entanglement witness of the two-photon state.

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