A Note on Resistance of NPT to Mixture of Separable States |
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Authors: | Bobo Hua Xiu-Hong Gao Ming-Jing Zhao Shao-Ming Fei |
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Institution: | 1. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany 2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China
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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. |
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