论文标题
基于密度矩阵的BLOCH表示的可分离性标准
Separability criteria based on Bloch representation of density matrices
论文作者
论文摘要
我们使用密度矩阵的BLOCH表示，研究了任意维度的多部分量子系统中的可分离性标准。我们首先得出相关张量的规范，并在三方和四方量子状态下获得可分离性的必要条件。此外，根据相关张量的规范，我们通过矩阵方法获得可分离性标准。使用详细的示例，我们的结果被认为能够检测到比以前的研究更纠缠的状态。最后，在任意分区下给出了多部分系统可分离性的必要条件。
We study separability criteria in multipartite quantum systems of arbitrary dimensions by using the Bloch representation of density matrices. We first derive the norms of the correlation tensors and obtain the necessary conditions for separability under partition of tripartite and four-partite quantum states. Moreover, based on the norms of the correlation tensors,we obtain the separability criteria by matrix method. Using detailed examples, our results are seen to be able to detect more entangled states than previous studies. Finally, necessary conditions of separability for multipartite systems are given under arbitrary partition.
