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arXiv · 2008.02730

Necessary conditions for classifying m-separability of multipartite entanglements

Wen Xu·Chuan-Jie Zhu·Zhu-Jun Zheng·Shao-Ming Fei
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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.

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Wen Xu, Chuan-Jie Zhu, Zhu-Jun Zheng, Shao-Ming Fei. 2020-06-17. Necessary conditions for classifying m-separability of multipartite entanglements. https://doi.org/10.1007/s11128-020-02705-6

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