New criteria of separability for tripartite and more high dimensional multipartite qubit density matrixes

2003/08/26 by Zai-Zhe Zhong, Zhong, Zai-Zhe
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0308138

REVTex, 5 pages, no figure

arxiv created 2003/08/26 · arxiv updated 2009/12/01

Abstract

In this Letter we find the new criteria of separability of multipartite qubit density matrixes. Especially, we discuss in detail the criteria of separability for tripartite qubit density matrixes. We find the sufficient and necessary conditions of separability for tripartite qubit density matrixes, and give two corollaries. The second corollary can be taken as the criterion of existence of entanglement for tripartite qubit density matrixes. In concrete application, its steps are quite simple and easy to operate. Some examples, discussions and the generalization to more high dimensional multipartite qubit density matrixes are given.

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