In this paper we point out that the genuine quantum and classical correlations defined by Giorgi et al in two different ways [Phys. Rev. Lett. 107, 190501 (2011), arXiv:1108.0434] do not coincide in general.
@article{arxiv.1206.0221,
title = {Two Different Definitions on Genuine Quantum and Classical Correlations in Multipartite Systems Do Not Coincide in General},
author = {Zhanjun Zhang and Biaoliang Ye and Shao-Ming Fei},
journal= {arXiv preprint arXiv:1206.0221},
year = {2012}
}