Entangling Pairs of Nano-Cantilevers, Cooper-Pair Boxes and Mesoscopic Teleportation

Abstract

We propose two schemes to establish entanglement between two mesoscopic quantum systems through a third mesoscopic quantum system. The first scheme entangles two nano-mechanical oscillators in a non-Gaussian entangled state through a Cooper pair box. Entanglement detection of the nano-mechanical oscillators is equivalent to a teleportation experiment in a mesoscopic setting. The second scheme can entangle two Cooper pair box qubits through a nano-mechanical oscillator in a thermal state without using measurements in the presence of arbitrarily strong decoherence.