Exposed positive maps in M_4(C)

Abstract

It is shown that the family of so called Breuer-Hall maps in M_4(C) possesses strong spanning property and hence they are exposed in the convex cone of positive maps in M_4(C)

7 pages

References in corpus (6)

• Optimization of entanglement witnesses
• Entanglement witnesses arising from exposed positive linear maps
• One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
• A class of positive atomic maps
• Exposed positive maps: a sufficient condition
• On the structure of positive maps; finite dimensional case

Cited by in corpus (5)

• Entanglement witnesses: construction, analysis and classification
• Three-qubit entanglement witnesses with the full spanning properties
• Exposedness of Choi type entanglement witnesses and applications to lengths of separable states
• Merging of positive maps: a construction of various classes of positive maps on matrix algebras
• Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps