论文标题
部分痕迹和纠缠的几何形状；高斯状态可分离性的足够条件
Partial Traces and the Geometry of Entanglement; Sufficient Conditions for the Separability of Gaussian States
论文作者
论文摘要
密度算子的部分轨迹的概念对于理解量子状态的纠缠和可分离性特性至关重要。在本文中，我们调查了这些概念，重点介绍了还原状态的协方差椭圆形的几何特性。此后，我们关注的是高斯州，我们为所有高斯州的可分离性提供了新的易于实现的足够条件。与积极的部分换位标准不同，这些条件均不必需。
The notion of partial trace of a density operator is essential for the understanding of the entanglement and separability properties of quantum states. In this paper we investigate these notions putting an emphasis on the geometrical properties of the covariance ellipsoids of the reduced states. We thereafter focus on Gaussian states and we give new and easily numerically implementable sufficient conditions for the separability of all Gaussian states. Unlike the positive partial transposition criterion, none of these conditions is however necessary.
