All 2-positive linear maps from M3 to M3 are decomposable
Mathematical Physics
2016-03-14 v1 math.MP
Quantum Physics
Abstract
Following an idea of Choi, we obtain a decomposition theorem for k-positive linear maps from Mm to Mn, where 2<=k<min{m,n}. As a consequence, we give an affirmative answer to Kye's conjecture (also solved independently by Choi) that every 2-positive linear map from M3 to M3 is decomposable.
Cite
@article{arxiv.1603.03534,
title = {All 2-positive linear maps from M3 to M3 are decomposable},
author = {Yu Yang and Denny H. Leung and Waishing Tang},
journal= {arXiv preprint arXiv:1603.03534},
year = {2016}
}