A general scheme for construction of scalar separability criteria from positive maps

Augusiak, Remigiusz; Stasińska, Julia

A general scheme for construction of scalar separability criteria from positive maps

Authors

Description

We present a general scheme that allows for construction of scalar separability criteria from positive but not completely positive maps. The concept is based on a decomposition of every positive map $Λ$ into a difference of two completely positive maps $Λ_1$, $Λ_2$, i.e., $Λ=Λ_1-Λ_2$. The scheme may be also treated as a generalization of the known entropic inequalities, which are obtained from the reduction map. An analysis performed on few classes of states shows that the new scalar criteria are stronger than the entropic inequalities and furthermore, when derived from indecomposable maps allow for detection of bound entanglement.
RevTex, 5 pages, 2 figures, the revised version