Unified approach to geometric and positive-map-based non-linear entanglement identifiers
| Author | Markiewicz M.; Kolodziejski A.; Puchała Z.; Rutkowski A.; Tylec T.; Laskowski W. |
|---|---|
| Title | Unified approach to geometric and positive-map-based non-linear entanglement identifiers |
| Journal | Phys. Rev. A |
| Year | 2018 |
| Status | Published |
| Volume | 97 |
| Pages | 042339 |
| DOI | 10.1103/PhysRevA.97.042339 |
| URL | https://doi.org/10.1103/PhysRevA.97.042339 |
| Abstract | <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> |