Characterization of separable states and entanglement witnesses
- 20 March 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 63 (4) , 044304
- https://doi.org/10.1103/physreva.63.044304
Abstract
We provide a canonical form of mixed states in bipartite quantum systems in terms of a convex combination of a separable state and a so-called edge state. We construct entanglement witnesses for all edge states, which allows us to introduce a canonical form of nondecomposable entanglement witnesses and the corresponding positive maps. We also present a nontrivial necessary condition for entanglement witnesses and positive maps to be extremal.Keywords
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