01323nas a2200169 4500008003900000022001400039245007000053210006900123260000800192490000700200520082300207100001901030700001801049700001901067700001901086856004801105 2017 d a0022-248800aGenuine-multipartite entanglement criteria based on positive maps0 aGenuinemultipartite entanglement criteria based on positive maps caug0 v583 aPositive 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.1 aClivaz, Fabien1 aHuber, Marcus1 aLami, Ludovico1 aMurta, Glaucia uhttps://grupsderecerca.uab.cat/giq/node/846