Comment on “Witnessed entanglement and the geometric measure of quantum discord”
Swapan Rana, Preeti Parashar · Physical Review A · 2013
In a recent article [Phys. Rev. A 86, 024302 (2012)], the authors have derived some hierarchy relations between geometric discord and entanglement (measured by negativity and its square). We point out that these results are incorrect and give analytic counterexamples. We also briefly discuss the reason for such violations.