  The rapid experimental progress in the field of superconducting nanocircuits
gives rise to an increasing quest for advanced quantum-control techniques for
these macroscopically coherent systems. Here we demonstrate theoretically that
stimulated Raman adiabatic passage (STIRAP) should be possible with the
quantronium setup of a Cooper-pair box. The scheme appears to be robust against
decoherence and should be realizable even with the existing technology. As an
application we present a method to generate single-phonon states of a
nanomechnical resonator by vacuum-stimulated adiabatic passage with the
superconducting nanocircuit coupled to the resonator.
