Quantum separability criteria for arbitrary-dimensional multipartite states

M Li, J Wang, SM Fei, X Li-Jost - Physical Review A, 2014 - APS
We present separability criteria for both bipartite and multipartite quantum states. These
criteria include the criteria based on the correlation matrix and its generalized form as …

The generalized partial transposition criterion for separability of multipartite quantum states

K Chen, LA Wu - Physics Letters A, 2002 - Elsevier
We present a generalized partial transposition separability criterion for the density matrix of
a multipartite quantum system. This criterion comprises as special cases the famous Peres …

Separability and entanglement of quantum states based on covariance matrices

M Li, SM Fei, ZX Wang - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
We investigate the separability of quantum states based on covariance matrices.
Separability criteria are presented for multipartite states. The lower bound of concurrence …

Separability criterion of tripartite qubit systems

C Yu, H Song - Physical Review A—Atomic, Molecular, and Optical …, 2005 - APS
In this paper, we present a method to construct full separability criterion for tripartite systems
of qubits. The spirit of our approach is that a tripartite pure state can be regarded as a three …

A necessary and sufficient criterion for multipartite separable states

S Wu, X Chen, Y Zhang - Physics Letters A, 2000 - Elsevier
We present a necessary and sufficient condition for the separability of multipartite quantum
states, this criterion also tells us how to write a multipartite separable state as a convex sum …

Generalized reduction criterion for separability of quantum states

S Albeverio, K Chen, SM Fei - Physical Review A, 2003 - APS
A necessary separability criterion that relates the structures of the total density matrix and its
reductions is given. The method used is based on the realignment method [K. Chen and LA …

Separability of mixed quantum states: linear contractions approach

M Horodecki, P Horodecki, R Horodecki - arXiv preprint quant-ph/0206008, 2002 - arxiv.org
Recently, a new and powerful separability criterion was introduced in [O. Rudolph, quant-
ph/0202121] and [Chen {\it et al.}, quant-ph/0205017]. Composing the main idea behind the …

Separability criteria for several classes of n-partite quantum states

T Gao, Y Hong - The European Physical Journal D, 2011 - Springer
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 …

Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems

Y Guo, XF Qi, JC Hou - Chinese Science Bulletin, 2011 - Springer
Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional
systems Page 1 © The Author(s) 2011. This article is published with open access at …

Separability of mixed quantum states: linear contractions and permutation criteria

M Horodecki, P Horodecki, R Horodecki - Open Systems & Information …, 2006 - Springer
Recently, a powerful separability criterion was introduced by O. Rudolf in [5] and by K. Chen
et al. in [6]–basing on realignment of elements of density matrix. Composing the main idea …