  A hybrid quantum system is proposed by coupling the internal hyperfine
transitions of a trapped atomic Bose-Einstein condensate (BEC) and a
superconducting quantum interference device (SQUID) via the macroscopic quantum
field of the flux qubit. The presence of the condensate leads to a bosonic
enhancement of the Rabi frequency over the otherwise small single-particle
magnetic dipole transition matrix elements. This enhancement allows for the
possibility to rapidly transfer and store qubit states in the BEC that were
originally prepared in the SQUID. The fidelity of this transfer for different
states is calculated, and a direct experimental protocol to determine the
transfer fidelity by quantum tomography of the BEC qubit is presented.
