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

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Submission date: 07. Aug. 2013
Pages: 7
published in: International journal of theoretical physics, 52 (2013) 9, p. 3007-3010 
DOI number (of the published article): 10.1007/s10773-013-1591-6
PACS-Numbers: 03.65.Ud, 03.67.Mn
Keywords and phrases: partial transposition, separable state, entanglement
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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 n(n-1)   2 - 1 arbitrary pure separable states. This result is generalized to multipartite case.

02.07.2022, 02:16