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.
@article{arxiv.1207.1596,
title = {Detection of $k$-nonseparable $n$-partite quantum states},
author = {Ting Gao and Yan Hong},
journal= {arXiv preprint arXiv:1207.1596},
year = {2013}
}