arXiv:quant-ph/9604005AbstractReferencesReviewsResources
Separability Criterion for Density Matrices
Published 1996-04-08, updated 1996-06-17Version 2
A quantum system consisting of two subsystems is separable if its density matrix can be written as $\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''$, where $\rho_A'$ and $\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.
Comments: 6 pages LaTeX, contains a simplified derivation and two new examples
Journal: Phys.Rev.Lett.77:1413-1415,1996
Categories: quant-ph
Keywords: density matrices, separability criterion, bells inequality, necessary condition, partial transposition
Tags: journal article
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