Entanglement swapping with local certification: Application to remote micromechanical resonators

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.

5+3 pages, 2 figures

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• Large Distance Continuous Variables Communication with Concatenated Swaps
• Entangling two distant non-interacting microwave modes
• Generating quantum discord between two distant Bose-Einstein condensates with Bell-like detection