Zander Claudia, Plastino Angel Ricardo
Physics Department, University of Pretoria, Pretoria 0002, South Africa.
CeBio y Secretaria de Investigaciones, Universidad Nacional del Noroeste de la Prov. de Buenos Aires-UNNOBA y CONICET, Roque Saenz Peña 456,6000 Junín, Argentina.
Entropy (Basel). 2018 Jun 18;20(6):473. doi: 10.3390/e20060473.
We revisit the concept of entanglement within the Bohmian approach to quantum mechanics. Inspired by Bohmian dynamics, we introduce two partial measures for the amount of entanglement corresponding to a pure state of a pair of quantum particles. One of these measures is associated with the statistical correlations exhibited by the joint probability density of the two Bohmian particles in configuration space. The other partial measure corresponds to the correlations associated with the phase of the joint wave function, and describes the non-separability of the Bohmian velocity field. The sum of these two components is equal to the total entanglement of the joint quantum state, as measured by the linear entropy of the single-particle reduced density matrix.
我们在量子力学的玻姆方法中重新审视纠缠的概念。受玻姆动力学的启发，我们引入了两种与一对量子粒子的纯态相对应的纠缠量的部分度量。其中一种度量与配置空间中两个玻姆粒子的联合概率密度所表现出的统计相关性相关。另一种部分度量对应于与联合波函数相位相关的相关性，并描述了玻姆速度场的不可分离性。这两个分量的总和等于联合量子态的总纠缠，由单粒子约化密度矩阵的线性熵来度量。
