Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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