Contrasting GHZ and W-state Entanglement Dynamics due to Correlated Markov Noise

TL;DR

This paper investigates how correlated Markov noise affects the entanglement dynamics of GHZ and W states in three-qubit systems, revealing conditions under which entanglement can be preserved or slowed in noisy environments.

Contribution

It introduces a semiclassical model analyzing the impact of tunable noise correlations on multipartite entanglement, highlighting their potential to protect quantum coherence.

Findings

Correlated noise can slow entanglement decay.

Under certain conditions, entanglement can be fully preserved.

GHZ and W states respond differently to noise correlations.

Abstract

The ability to preserve multipartite entanglement in noisy environments is central to advancing quantum information processing. In this work, we develop a semiclassical theoretical model of three entangled qubits exposed to local Markov noise environments with tunable statistical correlations between noise sources. We show that such correlations can significantly influence the dynamics of multipartite entanglement, in some cases slowing its decay and, under ideal conditions, even enabling full preservation. Using tripartite negativity as an entanglement measure, we derive analytical results for the GHZ and W states, demonstrating their contrasting responses to correlated and anticorrelated noise. Our analysis identifies regimes in which multipartite entanglement can be sustained despite environmental interactions, offering new insight into how noise correlations may serve as a resource for protecting quantum coherence in multi-qubit systems.