2000•arXiv (Cornell University)Open access
A necessary and sufficient criterion of separability for multipartite quantum states
Shengjun Wu, Yongde Zhang
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Abstract
We present a necessary and sufficient criterion for the separability of multipartite quantum states, this criterion also tell us how to write a separable multipartite state as a convex sum of separable pure states. To work out this criterion, we need to solve a set of equations, it is easy to solve these quations analytically if the density matrix of the given quantum state has few nonzero eigenvalues.