Witnessing genuine multipartite entanglement with positive maps

We derive a general framework that lifts any set of bipartite to multipartite entanglement witnesses and we show how positive maps can naturally be incorporated into this framework. We show that some previous approaches for multipartite entanglement detection are intimately connected to the witnesse...

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Bibliographic Details
Published in:Physical review letters 2014-09, Vol.113 (10), p.100501-100501, Article 100501
Main Authors: Huber, Marcus, Sengupta, Ritabrata
Format: Article
Language:English
Subjects:
Criteria
Entangled states
Entanglement
Lifts
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Summary:We derive a general framework that lifts any set of bipartite to multipartite entanglement witnesses and we show how positive maps can naturally be incorporated into this framework. We show that some previous approaches for multipartite entanglement detection are intimately connected to the witnesses derived from partial transposition and that such criteria can easily be outperformed in higher dimensions by nondecomposable maps. As an exemplary case we present a witness that is capable of detecting genuine multipartite entanglement in bound entangled states.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.113.100501