Entangling pairs of nano-cantilevers, Cooper-pair boxes and mesoscopic teleportation

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 (CPB). Entanglement detection of the nano-mechanical oscillators is equivalent to a teleportation experiment in a mesoscopic setting. The second scheme can entangle two CPB qubits through a nano-mechanical oscillator in the presence of arbitrarily strong decoherence.