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arXiv · 1311.2765

Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor

Stefan Walter·Jan Carl Budich
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Abstract

A one-dimensional topological superconductor features a single fermionic zero mode that is delocalized over two Majorana bound states located at the ends of the system. We study a pair of spatially separated nanomechanical oscillators tunnel-coupled to these Majorana modes. Most interestingly, we demonstrate that the combination of electron-phonon coupling and a finite charging energy on the mesoscopic topological superconductor can lead to an effective superexchange between the oscillators via the non-local fermionic zero mode. We further show that this teleportation mechanism leads to entanglement of the two oscillators over distances that can significantly exceed the coherence length of the superconductor.

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Stefan Walter, Jan Carl Budich. 2013-11-12. Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor. https://doi.org/10.1103/physrevb.89.155431

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