论文标题

分类多部分纠缠的M分离性的必要条件

Necessary conditions for classifying m-separability of multipartite entanglements

论文作者

Xu, Wen, Zhu, Chuan-Jie, Zheng, Zhu-Jun, Fei, Shao-Ming

论文摘要

我们研究了Bloch矢量的规范,该规范是任意$ n $ - 分段量子状态的。规范的紧密上限是针对具有不同单个维度的$ n $ partite系统得出的。这些上限用于处理可分离性问题。在$ n $ - 分段量子系统中以$ \ Mathbf M $ - 分离状态提供必要条件。根据上限,用详细的例子说明了多部分纠缠的分类。

We study the norms of the Bloch vectors for arbitrary $n$-partite quantum states. A tight upper bound of the norms is derived for $n$-partite systems with different individual dimensions. These upper bounds are used to deal with the separability problems. Necessary conditions are presented for $\mathbf m$-separable states in $n$-partite quantum systems. Based on the upper bounds, classification of multipartite entanglement is illustrated with detailed examples.

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