The problem of bipartite entanglement in partially coherent paraxial vector light fields is addressed. A generalized uncertainty principle suited for the polarization-spatial degrees of freedom is introduced. Partial transpose is implemented through the obtained generalized uncertainty principle. Partial transpose is shown to be necessary and sufficient in detecting entanglement for a class of partially coherent vector light fields which have a spatial part to be Gaussian. An experimental realization of the studied entangled states using classical optical interferometry is outlined.

中文翻译：

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部分相干光场中的偏振空间高斯纠缠

解决了部分相干近轴矢量光场中的二分纠缠问题。介绍了适用于偏振空间自由度的广义不确定性原理。部分转置是通过得到的广义不确定性原理实现的。部分转置被证明对于检测具有高斯空间部分的一类部分相干矢量光场的纠缠是必要和充分的。概述了使用经典光学干涉测量研究纠缠态的实验实现。