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MiS Preprint
66/2020

Necessary conditions for classifying m-separability of multipartite entanglements

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

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

Received:
Jun 22, 2020
Published:
Jun 22, 2020

Related publications

inJournal
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