01241nas a2200181   4500000000100000008004100001100002200042700002400064700002200088700001900110700001700129700002200146245009300168856004700261300001100308490000700319520073300326       2018                            d1 aMarcin Markiewicz1 aAdrian Kolodziejski1 aZbigniew Puchała1 aAdam Rutkowski1 aTomasz Tylec1 aWieslaw Laskowski00aUnified approach to geometric and positive-map-based non-linear entanglement identifiers  uhttps://doi.org/10.1103/PhysRevA.97.042339  a0423390 v973 a<p>Detecting quantumness of correlations (especially entanglement) is a very hard task even in the simplest case, i.e., two-partite quantum systems. Here we provide an analysis of whether there exists a relation between two of the most popular types of entanglement identifiers: the first one based on positive maps and not directly applicable in the laboratory and the second one a geometric entanglement identifier which is based on specific Hermiticity-preserving maps. We show a profound relation between those two types of entanglement criteria. Hereunder we have proposed a general framework of nonlinear functional entanglement identifiers which allows us to construct experimentally friendly entanglement criteria.</p>