Preservation of the geometric quantum discord in noisy environments

Geometric description of quantum correlations are favored for their distinct physical significance. Geometric discord based on the trace distance and the Bures distance are shown to be well-defined quantum correlation measures. Here, we examine their particular dynamical behaviors under independent as well as common structured reservoirs, and reveal their robustness against decoherence. We showed that the two well-defined geometric discord may be preserved well, or even be improved and generated by the noisy process of the common reservoir. Moreover, we also provided a strategy for long-time preservation of these two geometric discord in independent reservoirs.
Comment: 6 pages, 5 figures, the final version as that published in Annals of Physics