Eur. Phys. J. D 61, 765-771 (2011)
https://doi.org/10.1140/epjd/e2010-10432-4

Separability criteria for several classes of n-partite quantum states

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, P.R. China

Corresponding author: ^a gaoting@hebtu.edu.cn

Received: 2 August 2010
Revised: 13 November 2010
Published online: 4 February 2011

Abstract

In this paper, we mainly discuss the separability of n-partite quantum states using elements of density matrices. Practical separability criteria for different classes of n-qubit and n-qudit quantum states are obtained. Some of them are also sufficient conditions for genuine entanglement of n-partite quantum states. Moreover, one of the resulting criteria is also necessary and sufficient for a class of n-partite states.