Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion

Otfried Gühne, Mátyás Mechler, Géza Tóth, Peter Adam

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60 Citations (Scopus)


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.

Original languageEnglish
Article number010301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
Publication statusPublished - Jul 17 2006


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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