Eur. Phys. J. D (2015) 69: 56
https://doi.org/10.1140/epjd/e2015-50538-5

Regular Article

Criteria for non-k-separability of n-partite quantum states

¹ Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620024, Tamilnadu, India
² Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA University, Thanjavur 613401, Tamilnadu, India

^a e-mail: velan@cnld.bdu.ac.in

Received: 21 July 2014
Received in final form: 12 December 2014
Published online: 24 February 2015

Abstract

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.