Quantum correlation evolution of GHZ and $$W$$ 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 κ and remove its overestimating quantum correlations upon implementing the ameliorated measurement-induced disturbance.

Dynamics of entanglement and non-classical correlation for four-qubit GHZ state

“…Quantifications of nonclassical correlation and entanglement for multi-partite systems are not yet generally d known, in addition and consequently determinations of their behavior in presence of environmental noises are far from being clear. In the case of tripartite systems there have been some results [20,23] but for larger spaces the sources are very few [24][25][26] and the existing papers only study the entanglement of the states not nonclassical correlations in terms of e.g. quantum discord and their behavior under noise.…”

Influence of Dzyaloshinskii–Moriya interaction on measurement-induced disturbance in a mixed-spin Heisenberg XXZ model with an inhomogeneous magnetic field

“…And it is also emphasized that Werlang et al first proposed the thermal quantum discord (T QD) [14], and by using it, many researchers have devoted to investigating the quantum critical behavior [9,15,16]. However, we have to note that it is difficult to obtain the analytical expression of the QD for a general system because of the complicated optimization involved, in order to solve this trouble, the measurement-induced disturbance (MID), an easy method to calculate the quantum correlation, has been proposed by Luo [17], and many works have shown the MID is a promising measure of the QC for the quantum system [18,19,20,21,22,23,24,25,26,27,28,29]. At the same time, many new methods to capture the QC also have been pointed out.…”