Exposed positive maps: a sufficient condition

Abstract

Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a sufficient condition for a positive map to be exposed. This is an analog of a spanning property which guaranties that a positive map is optimal. We analyze a class of decomposable maps for which this condition is also necessary.

10 pages; improved version

References in corpus (3)

• Spectral conditions for positive maps
• Entanglement witnesses arising from exposed positive linear maps
• Spectral properties of entanglement witnesses

Cited by in corpus (11)

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• Checking the optimality of entanglement witnesses: an application to structural physical approximations
• Disproving the conjecture on structural physical approximation to optimal decomposable entanglement witnesses
• Construction of three qubit genuine entanglement with bi-partite positive partial transposes
• New tools for investigating positive maps in matrix algebras
• On the structure of positive maps II: low dimensional matrix algebras
• Merging of positive maps: a construction of various classes of positive maps on matrix algebras