Robustness of Greenberger-Horne-Zeilinger and W states for teleportation in external environments

TL;DR

This paper analytically compares the robustness of GHZ and W entangled states in quantum teleportation under various environmental conditions, revealing their relative strengths at different temperatures and noise types.

Contribution

It provides a detailed analytical study of how GHZ and W states perform in quantum teleportation within different external environments, highlighting their robustness differences.

Findings

GHZ state is more robust at zero temperature

W state outperforms GHZ at high temperature or dephasing environments

Environmental conditions significantly affect teleportation fidelity

Abstract

By solving analytically a master equation in the Lindblad form, we study quantum teleportation of the one-qubit state under the influence of different surrounding environments, and compared the robustness between Greenberger-Horne-Zeilinger (GHZ) and W states in terms of their teleportation capacity. The results revealed that when subject to zero temperature environment, the GHZ state is always more robust than the W state, while the reverse situation occurs when the channel is subject to infinite temperature or dephasing environment.