We study the geometric measure of quantum coherence recently proposed in [Phys. Rev. Lett. 115, 020403 (2015)]. Both lower and upper bounds of this measure are provided. These bounds are shown to be tight for a class of important coherent states -- maximally coherent mixed states. The trade-off relation between quantum coherence and mixedness for this measure is also discussed.
@article{arxiv.1703.04245,
title = {Estimation on geometric measure of quantum coherence},
author = {Hai-Jun Zhang and Bin Chen and Ming Li and Shao-Ming Fei and Gui-Lu Long},
journal= {arXiv preprint arXiv:1703.04245},
year = {2017}
}