Phononic entanglement concentration via optomechanical interactions
Shan-Shan Chen, Hao Zhang, Qing Ai, and Guo-Jian Yang

TL;DR
This paper introduces a novel protocol for entanglement concentration of nonlocal phonons using optomechanical interactions, enabling improved phonon-based quantum information processing.
Contribution
It presents the first protocol combining optomechanical cross-Kerr interaction with interferometry to concentrate entanglement in nonlocal phonon states.
Findings
Achieves ideal entanglement concentration of phonon Bell and GHZ states.
Utilizes twice optomechanical interactions and photon analysis.
Enhances preservation of entangled phonons for quantum information applications.
Abstract
Low dissipation, tunable coupling to other quantum systems, and unique features of phonons in the aspects of propagation, detection and others suggest the applications of quantized mechanical resonators in phonon-based quantum information processing (QIP) in a way different from their photonic counterpart. In this paper, we propose the first protocol of entanglement concentration for nonlocal phonons from quantized mechanical vibration. We combine the optomechanical cross-Kerr interaction with the Mach-Zehnder interferometer and, by means of twice optomechanical interactions and the photon analysis with respect to the output of the interferometer, achieve ideal entanglement concentration about less-entangled nonlocal phonon Bell and Greenberger-Horne-Zeilinger states. Our protocol is useful for preserving the entangled phonons for the use of high quality phonon-based QIP in future.
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