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Employing a recently proposed separability criterion we develop analyticallower bounds for the concurrence and for the entanglement of formation ofbipartite quantum systems. The separability criterion is based on anondecomposable positive map which operates on state spaces with even dimensionN >= 4, and leads to a class of nondecomposable optimal entanglement witnesses.It is shown that the bounds derived here complement and improve the existingbounds obtained from the criterion of positive partial transposition and fromthe realignment criterion.Comment: 8 pages, 2 figure

Separability criteria and bounds for entanglement measures