Detection of k-nonseparable n-partite quantum states
The detection of multipartite entanglement in arbitrary dimensional systems is investigated. We derive useful k-separability criteria of mixed n-partite (n≥3) quantum states to detect k-nonseparable n-partite quantum states. Our criteria can be expressed by the elements of the density matrix, which allows a simple and practical evaluation and computation. They are experimentally accessible without quantum state tomography.