Entanglement distribution among distinct mechanical nodes in a quantum network

TL;DR

This paper proposes two optomechanical schemes for entangling mechanical nodes with different frequencies over long distances, enabling hybrid quantum networks with diverse mechanical systems.

Contribution

It introduces novel methods for frequency-mismatch entanglement distribution in optomechanical systems, expanding quantum network capabilities.

Findings

Demonstrates megahertz-to-gigahertz entanglement transfer

Provides a fast optical pulse protocol for long-distance entanglement

Enables hybrid quantum networks with diverse mechanical frequencies

Abstract

We propose two schemes to achieve remote entanglement distribution between two mechanical nodes with a significant frequency mismatch, based on optomechanical systems. The first scheme utilizes the physical mechanism to redistribute the quantum entanglement initially established in a dispersively-coupled optomechanical system with a megahertz mechanical resonance to a distant optomechanical system which embodies the tripleresonant interaction induced by the scattering of gigahertz mechanical phonon. We also provide a fast optical pulse protocol to realize the long-distance entanglement distribution from the optomechanical system supporting the gigahertz mechanical mode to the megahertz mechanical mode included in a distant optomechanical system. Specifically, these two schemes respectively demonstrate the megahertz-to-gigahertz and gigahertz-tomegahertz entanglement distribution in the quantum network of optical photons and phonons. This work may facilitate the application of various mechanical systems in hybrid quantum network-based quantum technologies and fundamental physical research.