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We derive a general framework that connects every positive map with a corresponding witness for partial separability in multipartite quantum systems.
- We show that many previous approaches were intimately connected to the witnesses derived from partial transposition and that such criteria can easily be outperformed in higher dimensions by non-decomposable maps.
- As an exemplary case we present a witness that is capable of detecting genuine multipartite entanglement in bound entangled states.
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