Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
Otfried Gühne, Matyas I. Mechler, Géza Tóth, Петер Адам · Physical Review A · 2006
We show that any state that violates the computable cross norm (or realignment) criterion for separability also violates the separability criterion of the local uncertainty relations. The converse is not true. The local uncertainty relations provide a straightforward construction of nonlinear entanglement witnesses for the cross norm criterion.