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MiS Preprint
73/2013
A Note on Resistance of NPT to Mixture of Separable States
Bobo Hua, Xiu-Hong Gao, Ming-Jing Zhao and Shao-Ming Fei
Abstract
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.