Macroscopic tunnel splittings in superconducting phase qubits
  Prototype Josephson-junction based qubit coherence times are too short for quantum computing. Recent experiments probing superconducting phase qubits have revealed previously unseen fine splittings in the transition energy spectra. These splittings have been attributed to new microscopic degrees of freedom (microresonators), a previously unknown source of decoherence. We show that macroscopic resonant tunneling in the extremely asymmetric double well potential of the phase qubit can have observational consequences that are strikingly similar to the observed data. 
Philip R. Johnson, William T. Parsons, Frederick W. Strauch, J.R.   Anderson, Alex J. Dragt, C.J. Lobb, F.C. Wellstood