Distributing entangled state using quantum repeater protocol: Trapped atomic ions in optomechanical cavities

TL;DR

This paper proposes a quantum repeater protocol using optomechanical cavities with trapped atomic ions to distribute entanglement over long distances, analyzing the effects of system parameters on success probability and entanglement quality.

Contribution

It introduces a novel method combining trapped ions and optomechanical cavities for long-distance entanglement distribution with detailed parameter analysis.

Findings

Entanglement distribution achieved with satisfactory success probability.

Detuning reduces fluctuations in entanglement and success probability.

Pump laser amplitude influences entanglement maxima and success probability dynamics.

Abstract

Distribution of the entangled state of trapped atomic ions to long distance using quantum repeater protocol is considered. Indeed, the long distance is divided into short parts, and then using entanglement generation and entanglement swapping techniques in optomechanical cavities, the entanglement is distributed. To do the task, we perform interaction between trapped atomic ions in optomechanical cavities, operate proper measurements on trapped ions and also make Bell state measurement as a well-known way to swap the entanglement. Accordingly, the entanglement is distributed between target ions with satisfactory values of success probability and entanglement degree. The effects of detuning and amplitude of pump laser on the entanglement and success probability are evaluated. The uctuations of entanglement and success probability are decreased by increasing of detuning. Via increasing the amplitude of pump laser, the maxima of entanglement are repeated more times and success probability undergoes the collapse-revival phenomenon.