Simplified scheme for entanglement preparation with Rydberg pumping via dissipation

TL;DR

This paper presents a simplified dissipative Rydberg pumping scheme for efficiently preparing high-fidelity two- and three-dimensional entangled states with fewer resources and interactions.

Contribution

The authors introduce a less complex scheme that avoids asymmetric Rydberg interactions, achieving near-perfect entanglement fidelities through dissipative processes.

Findings

Fidelity of 0.999 for two-atom entanglement.

CHSH correlation up to 2.821.

Fidelity and Negativity close to unity for 3D entanglement.

Abstract

Inspired by recent work [A. W. Carr and M. Saffman, Phys. Rev. Lett. 111, 033607 (2013)], we propose a simplified scheme to prepare the two-atom maximally entangled states via dissipative Rydberg pumping. Compared with the former scheme, the simplified one involves less classical laser fields and Rydberg interactions, and the asymmetric Rydberg interactions are avoided. Master equation simulations demonstrate that the fidelity and the Clauser-Horne-Shimony-Holt correlation of the maximally entangled state could reach up to 0.999 and 2.821, respectively, under certain conditions. Furthermore, we extend the physical thoughts to prepare the three-dimensional entangled state, the numerical simulations show that, in theory, both the fidelity and the Negativity of the desired entanglement could be very close to unity under certain conditions.