Abstract
In this paper, we focus on two different kinds of multipartite correlation, k-nonseparability and k-partite entanglement, both of which can describe the essential characteristics of multipartite entanglement. We propose effective methods to detect k-nonseparability and k-partite entanglement in terms of quantum Fisher information. We illustrate the significance of our results and show that they identify some k-nonseparability and k-partite entanglement that cannot be identified by known criteria by several concrete examples.