|Title||Unified approach to geometric and positive-map-based non-linear entanglement identifiers|
|Publication Type||Journal Article|
|Year of Publication||2018|
|Authors||Markiewicz M, Kolodziejski A, Puchała Z, Rutkowski A, Tylec T, Laskowski W|
|Journal||Phys. Rev. A|
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.