| Abstract |
We explain various convex cones of positive maps between matrix algebras including
entanglement breaking, k-superpositive, completely positive, k-positive maps,
and corresponding convex cones of bi-partite states through Choi matrices and duality.
We also exhibit an identity which connect composition and tensor product of linear maps,
with which we recover various criteria in a unified framework. We also discuss several
open questions on the inclusions between decomposability and k-positivity. |
