Quantum Magnetomechanics with Levitating Superconducting Microspheres
  We show that by magnetically trapping a superconducting microsphere close to a quantum circuit, it is experimentally feasible to perform ground-state cooling and to prepare quantum superpositions of the center-of-mass motion of the microsphere. Due to the absence of clamping losses and time dependent electromagnetic fields, the mechanical motion of micrometer-sized metallic spheres in the Meissner state is predicted to be very well isolated from the environment. Hence, we propose to combine the technology of magnetic microtraps and superconducting qubits to bring relatively large objects to the quantum regime. 
O. Romero-Isart and L. Clemente and C. Navau and A. Sanchez and J. I.   Cirac
quant-ph cond-mat.mes-hall cond-mat.supr-con