Necessary conditions for classifying m-separability of multipartite entanglements

作者:Xu, Wen; Zhu, Chuan-Jie; Zheng, Zhu-Jun*; Fei, Shao-Ming
来源:Quantum Information Processing, 2020, 19(7): 200.
DOI:10.1007/s11128-020-02705-6

摘要

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 m-separable states in n-partite quantum systems. Based on the upper bounds, classification of multipartite entanglement is illustrated with detailed examples.