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In this paper, we focus on two different kinds of multipartite correlation,$k$-nonseparability and $k$-partite entanglement, both of which can describethe essential characteristics of multipartite entanglement. We proposeeffective methods to detect $k$-nonseparability and $k$-partite entanglement interms of quantum Fisher information. We illustrate the significance of ourresults and show that they identify some $k$-nonseparability and $k$-partiteentanglement that cannot be identified by known criteria by several concreteexamples.

Detection of multipartite entanglement via quantum Fisher information