Entanglement swapping with local certification: Application to remote micromechanical resonators

TL;DR

This paper introduces a protocol for entanglement swapping with local certification, enabling the generation and verification of remote entanglement between micromechanical resonators using continuous variable systems.

Contribution

It presents a novel entanglement swapping protocol with local certification applicable to optomechanical systems, facilitating remote entanglement generation and verification.

Findings

Effective certification for three-mode Gaussian states

Successful generation of mechanical entanglement between remote resonators

Protocol applicable to continuous variable and optomechanical systems

Abstract

We propose a protocol for entanglement swapping which involves tripartite systems. The generation of remote entanglement induced by the Bell measurement can be easily certified by additional local measurements. We illustrate the protocol in the case of continuous variable systems where the certification is effective for an appropriate class of three-mode Gaussian states. We then apply the protocol to optomechanical systems, showing how mechanical entanglement between two remote micromechanical resonators can be generated and certified via local optical measurements.