arXiv 0812.08782008-12-22quant-ph

参量下转换过程中双光子偏振态的量子关联

Quantum correlations of twophoton polarization states in the parametric down-conversion process

Ivan S. Dotsenko, Volodymyr G. Voronov

备注：: 10 pages, 7 figures; corrected typos
DOI：: 10.1016/j.optcom.2009.03.068

摘要：

我们考虑了参量下转换过程中双光子偏振态的相关特性。在我们对偏振态的描述中，我们考虑了在密度矩阵中同时存在色噪声和白噪声。在所考虑的模型中，我们研究了系统中冯诺伊曼熵与噪声量的关系，并利用Perec-Horodecki准则和优化准则，导出了双光子偏振态密度矩阵的可分性条件。然后研究了CHSH形式的Bell算子对噪声的依赖性。因此，我们给出了在贝尔算符的实验测量中确定量子关联态存在的条件。最后，我们比较我们的计算与实验数据[doi：10.1103/PhysRevA.73.062110]，并给出了噪声量估计的光子偏振态考虑。

英文摘要：

We consider correlation properties of twophoton polarization states in the parametric down-conversion process. In our description of polarization states we take into account the simultaneous presence of colored and white noise in the density matrix. Within the considered model we study the dependence of the von Neumann entropy on the noise amount in the system and derive the separability condition for the density matrix of twophoton polarization state, using Perec-Horodecki criterion and majorization criterion. Then the dependence of the Bell operator (in CHSH form) on noise is studied. As a result, we give a condition for determining the presence of quantum correlation states in experimental measurements of the Bell operator. Finally, we compare our calculations with experimental data [doi:10.1103/PhysRevA.73.062110] and give a noise amount estimation in the photon polarization state considered there.

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