01254nas a2200193   4500000000100000000000100001008004100002100002200043700002400065700002200089700001900111700001700130700002200147245009300169856004700262300001100309490000700320520073300327       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>