MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

A Note on Resistance of NPT to Mixture of Separable States

Bobo Hua, Xiu-Hong Gao, Ming-Jing Zhao and Shao-Ming Fei


We study the stability of NPT property of an arbitrary pure entangled state under the mixture of arbitrary pure separable states. For bipartite pure states with Schmidt number $n$ $(n>1)$ which is NPT, we show that this state is still NPT when it is mixed with no more than $\frac{n(n-1)}{2}-1$ arbitrary pure separable states. This result is generalized to multipartite case.

03.65.Ud, 03.67.Mn
partial transposition, separable state, entanglement

Related publications

2013 Repository Open Access
Bobo Hua, Xiu-Hong Gao, Ming-Jing Zhao and Shao-Ming Fei

A note on resistance of NPT to mixture of separable states

In: International journal of theoretical physics, 52 (2013) 9, pp. 3007-3010