In this paper, by providing a class of coherence measures in finite dimensional systems, a sufficient and necessary condition for the existence of coherence transformations that convert one probability distribution of any pure states into another one is obtained.
@article{arxiv.1505.07387,
title = {Coherence convertibility for mixed states},
author = {Xiaofei Qi and Zhaofang Bai and Shuanping Du},
journal= {arXiv preprint arXiv:1505.07387},
year = {2015}
}