Necessary conditions for classifying m-separability of multipartite entanglements

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

Contact the author: Please use for correspondence this email.
Submission date: 22. Jun. 2020
Pages: 14
Bibtex
Download full preprint: PDF (297 kB)

Abstract:
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.