Dynamics of Global Entanglement under Decoherence
Afshin Montakhab, Ali Asadian

TL;DR
This paper analytically explores how global entanglement, measured by Meyer-Wallach, evolves under decoherence for GHZ and W states, revealing different robustness levels and scaling behaviors.
Contribution
It provides exact analytical results on the decoherence dynamics of global entanglement for GHZ and W states, highlighting their differing robustness.
Findings
W state shows greater robustness under decoherence
Different scaling behaviors observed for GHZ and W states
Exact analytical results for various system-environment interactions
Abstract
We investigate the dynamics of global entanglement, the Meyer-Wallach measure, under decoherence, analytically. We study two important class of multi-partite entangled states, the Greenberger-Horne-Zeilinger and the W state. We obtain exact results for various models of system-environment interactions (decoherence). Our results shows distinctly different scaling behavior for these initially entangled states indicating a relative robustness of the W state, consistent with previous studies.
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