%0 Journal Article
%J JOURNAL OF MATHEMATICAL PHYSICS
%D 2017
%T Genuine-multipartite entanglement criteria based on positive maps
%A Clivaz, Fabien
%A Huber, Marcus
%A Lami, Ludovico
%A Murta, Glaucia
%X 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.
%B JOURNAL OF MATHEMATICAL PHYSICS
%V 58
%8 aug
%R 10.1063/1.4998433