Effects of Collisional Decoherence on Multipartite Entanglement - How would entanglement not be relatively common?

Abstract

We consider the collision model of Ziman {\em et al.} and study the robustness of $N$-qubit Greenberger-Horne-Zeilinger (GHZ), W, and linear cluster states. Our results show that $N$-qubit entanglement of GHZ states would be extremely fragile under collisional decoherence, and that of W states could be more robust than of linear cluster states. We indicate that the collision model of Ziman {\em et al.} could provide a physical mechanism to some known results in this area of investigations. More importantly, we show that it could give a clue as to how $N$-partite distillable entanglement would be relatively rare in our macroscopic classical world.

10 pages

References in corpus (4)

• Decoherence and multipartite entanglement
• Entanglement properties of multipartite entangled states under the influence of decoherence
• All (qubit) decoherences: Complete characterization and physical implementation
• Robustness of multi-qubit entanglement in the independent decoherence model