Title | Genuine-multipartite entanglement criteria based on positive maps |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Clivaz, F, Huber, M, Lami, L, Murta, G |
Journal | JOURNAL OF MATHEMATICAL PHYSICS |
Volume | 58 |
Issue | 8 |
Date Published | aug |
ISSN | 0022-2488 |
Abstract | Positive maps applied to a subsystem of a bipartite quantum state constitute a central tool in characterising entanglement. In the multipartite case, however, the direct application of a positive but not completely positive map cannot distinguish if a state is genuinely multipartite entangled or just entangled across some bipartition. We thus generalise this bipartite concept to the multipartite setting by introducing non-positive maps that are positive on the subset of biseparable states but can map to a non-positive element if applied to a genuine multipartite entangled state. We explicitly construct examples of multipartite non-positive maps, obtained from positive maps via a lifting procedure, that in this fashion can reveal genuine multipartite entanglement in a robust way. Published by AIP Publishing. |
DOI | 10.1063/1.4998433 |
