A class of exposed indecomposable positive maps
arXiv:1201.5995 · doi:10.1088/1751-8113/46/1/015306
Abstract
Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a class of indecomposable positive maps in the algebra of 2n x 2n complex matrices with n>1. It is shown that these maps are exposed and hence define the strongest tool in entanglement theory to discriminate between separable and entangled states.
15 pages; slightly improved version
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- New tools for investigating positive maps in matrix algebras
- On the structure of positive maps II: low dimensional matrix algebras
- Extremal entanglement witnesses
- New examples of extremal positive linear maps
- Constructing positive maps from block matrices
- Non-Markovianity and entanglement detection
- Construction of exposed indecomposable positive linear maps between matrix algebras
- Indecomposable exposed positive bi-linear maps between two by two matrices