Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 58, Issue 8, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4998433
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Funding
- Swiss National Science Foundation [AMBIZIONE PZ00P2_161351]
- Austrian Science Fund (FWF) through START Project [Y879-N27]
- Fundacao de Amparo a Pesquisa do Estado de Minas Gerais (FAPEMIG)
- NWO VIDI
- ERC Starting Grant
- European Union under the European Research Council (AdG IRQUAT) [267386]
- Spanish MINECO [FIS2013-40627-P]
- Generalitat de Catalunya (CIRIT Project) [2014 SGR 966]
- European Research Council (ERC) [267386] Funding Source: European Research Council (ERC)
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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.
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