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MiS Preprint

Necessary conditions for classifying m-separability of multipartite entanglements

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


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.

Jun 22, 2020
Jun 22, 2020

Related publications

2020 Repository Open Access
Wen Xu, Chuan-Jie Zhu, Zhu-Jun Zheng and Shao-Ming Fei

Necessary conditions for classifying \(\mathbf {m}\)-separability of multipartite entanglements

In: Quantum information processing, 19 (2020) 7, p. 200