A decomposition theorem for positive maps, and the projection onto a spin factor

Abstract

It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map and an atomic map which is both optimal and co-optimal. The result is analyzed in detail for the positive projection onto a spin factor.

12 pages

References in corpus (1)

• Optimality for indecomposable entanglement witnesses

Cited by in corpus (1)

• All 2-positive linear maps from M3 to M3 are decomposable