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

TL;DR

This paper investigates how quantum correlations in GHZ and W states evolve under noisy channels, revealing that W states are more robust than GHZ states, and introduces an improved measure to accurately track this evolution.

Contribution

It provides analytical relations for quantum correlation dynamics under noise and introduces an ameliorated measurement-induced disturbance measure for better accuracy.

Findings

W states are more robust than GHZ states under noise

Analytical relations for quantum correlation evolution are derived

Ameliorated measure reduces overestimation of quantum correlations

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.