Inequalities for dealing with detector inefficiencies in Greenberger-Horne-Zeilinger-type experiments

In this article we show that the three-particle Greenberger-Horne-Zeilinger theorem can be reformulated in terms of inequalities, allowing imperfect c orrelations due to detector inefficiencies. We show quantitatively that tak ing into account these inefficiencies, the published results of the Innsbru ck experiment support the nonexistence of local hidden variables that expla in the experimental results.