Detection of genuine multipartite entanglement in arbitrary multipartite systems

We study the genuine multipartite entanglement of arbitrary ������-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite entanglement and non full-separability of multipartite quantum states with arbitrary dimensions based on correlation tensors. Effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples are given to show that the criterion detects more genuine multipartite entanglement than the existing criteria.

Automated summary

We investigate genuine multipartite entanglement of arbitrary n-partite quantum states by utilizing the generalized Pauli operators to represent the density matrices. A general framework for detecting genuine multipartite entanglement and non-full separability of multipartite quantum states is introduced, based on correlation tensors. An effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples demonstrate that the criterion detects more genuine multipartite entanglement than existing criteria.