Necessary conditions for classifying m-separability of multipartite
entanglements
- URL: http://arxiv.org/abs/2008.02730v1
- Date: Wed, 17 Jun 2020 09:52:04 GMT
- Title: Necessary conditions for classifying m-separability of multipartite
entanglements
- Authors: Wen Xu, Chuan-Jie Zhu, Zhu-Jun Zheng and Shao-Ming Fei
- Abstract summary: 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.
Necessary conditions are presented for $mathbf m$-separable states in $n$-partite quantum systems.
- Score: 2.432474327428777
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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