Problem with geometric discord

@article{Piani2012ProblemWG,
  title={Problem with geometric discord},
  author={Marco Piani},
  journal={Physical Review A},
  year={2012},
  volume={86},
  pages={034101}
}
  • M. Piani
  • Published 1 June 2012
  • Physics
  • Physical Review A
We argue that the geometric discord introduced in [B. Dakic, V. Vedral, and C. Brukner, Phys. Rev. Lett. 105, 190502 (2010)] is not a good measure for the quantumness of correlations, as it can increase even under trivial local reversible operations of the party whose classicality/non-classicality is not tested. On the other hand it is known that the standard, mutual-information based discord does not suffer this problem; a simplified proof of such a fact is given. 
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