Quantum correlation evolution of GHZ and W states under noisy channels using ameliorated measurement-induced disturbance

Abstract: We study quantum correlation of Greenberger-Horne-Zeilinger (GHZ) and W states under various noisy channels using measurement-induced disturbance approach and its optimized version. Although these inequivalent maximal entangled states represent the same quantum correlation in the absence of noise, it is shown that the W state is more robust than the GHZ state through most noisy channels. Also, using measurement-induced disturbance measure, we obtain the analytical relations for the time evolution of quantum correlations in terms of the noisy parameter $\kappa$ and remove its overestimating quantum correlations upon implementing the ameliorated measurement-induced disturbance.