Unified approach to geometric and positive-map-based non-linear entanglement identifiers

Autorzy Markiewicz M.; Kolodziejski A.; Puchała Z.; Rutkowski A.; Tylec T.; Laskowski W.
Tytuł Unified approach to geometric and positive-map-based non-linear entanglement identifiers
Czasopismo Phys. Rev. A
Rok 2018
Status Published
Tom 97
Strony 042339
DOI 10.1103/PhysRevA.97.042339
URL https://doi.org/10.1103/PhysRevA.97.042339
Abstrakt <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>