paper

Separability Criterion for Density Matrices

arXiv:quant-ph/9604005 · doi:10.1103/PhysRevLett.77.1413

Abstract

A quantum system consisting of two subsystems is separable if its density matrix can be written as , where and 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 , has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.

6 pages LaTeX, contains a simplified derivation and two new examples

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