We develop separability criteria to identify non-k-separability (k=2,3,…,n) and genuine multipartite entanglement in different classes of mixed n-partite quantum states using elements of density matrices. With the help of these criteria, we detect non-k-separability in n-qudit GHZ and W states respectively added with white noise. We also discuss the experimental implementation of our criteria by means of local observables.
@article{arxiv.1501.04162,
title = {Criteria for non-$k$-separability of $n$-partite quantum states},
author = {N. Ananth and V. K. Chandrasekar and M. Senthilvelan},
journal= {arXiv preprint arXiv:1501.04162},
year = {2015}
}