Entangled state fusion with Rydberg atoms

TL;DR

This paper presents a scheme for creating large-scale entangled states using Rydberg atoms, leveraging the Rydberg antiblockade effect to fuse GHZ and W states with high success probability.

Contribution

It introduces a novel method for entangled state fusion with Rydberg atoms, achieving near-perfect success probability for GHZ state fusion.

Findings

Fusion of GHZ states can reach unit success probability.

The scheme effectively creates large-scale entangled states.

Spontaneous emission effects are analyzed and mitigated.

Abstract

We propose a scheme for preparation of large-scale entangled $GHZ$ states and $W$ states with neutral Rydberg atoms. The scheme mainly depends on Rydberg antiblockade effect, i.e., as the Rydberg-Rydberg-interaction (RRI) strength and the detuning between the atom transition frequency and the classical laser frequency satisfies some certain conditions, the effective Rabi oscillation between the two ground states and the two excitation Rydberg states would be generated. The prominent advantage is that both two-multiparticle $GHZ$ states and two-multiparticle $W$ states can be fused in this model, especially the success probability for fusion of $GHZ$ states can reach unit. In addition, the imperfections induced by the spontaneous emission is also discussed through numerical simulation.