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We propose two schemes to establish entanglement between two mesoscopicquantum systems through a third mesoscopic quantum system. The first schemeentangles two nano-mechanical oscillators in a non-Gaussian entangled statethrough a Cooper pair box. Entanglement detection of the nano-mechanicaloscillators is equivalent to a teleportation experiment in a mesoscopicsetting. The second scheme can entangle two Cooper pair box qubits through anano-mechanical oscillator in a thermal state without using measurements in thepresence of arbitrarily strong decoherence.Comment: 5 pages, 2 figure

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