Pairwise quantum discord for a symmetric multi-qubit system in different types of noisy channels

TL;DR

This paper investigates how pairwise quantum discord and geometric quantum discord evolve in symmetric multi-qubit systems under various noisy channels, revealing dependencies on system size and initial parameters, with analytical and numerical insights.

Contribution

It provides a comparative analysis of quantum discord dynamics and introduces analytical and numerical results for different noisy channels in symmetric multi-qubit systems.

Findings

Pairwise QD increases with the number of spins until reaching a stable maximum.

QDs exhibit symmetrical behavior over the parameter period 0 to 2π.

Quantum discord dynamics depend on the type of noisy channel and initial state parameters.

Abstract

We study the pairwise quantum discord (QD) for a symmetric multi-qubit system in different types of noisy channels, such as phase-flip, amplitude damping, phase-damping, and depolarizing channels. Using the QD and geometric measure of quantum discord (GMQD) to quantify quantum correlations, some analytical or numerical results are presented. The results show that, the dynamics of the pairwise QD is related to the number of spin particles $N$ as well as initial parameter $\theta$ of the one-axis twisting collective state. With the number of spin particles $N$ increasing, the amount of the pairwise QD increases. However, when the amount of the pairwise QD arrives at a stable maximal value, the pairwise QD is independence of the number of spin particles $N$ increasing. The behavior of the pairwise QD is symmetrical during a period $0\leq \theta \leq 2\pi$. Moreover, we compare the pairwise QD dynamics with the GMQD for a symmetric multi-qubit system in different types of noisy channels.