Back to Search
Start Over
Genuine-multipartite entanglement criteria based on positive maps
- Source :
- Journal of Mathematical Physics 58, 082201 (2017)
- Publication Year :
- 2016
-
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 bi-separable 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.<br />Comment: 16+15 pages, 1 figure
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Mathematical Physics 58, 082201 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1609.08126
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/1.4998433