  We show that a superconducting circuit containing two loops, when treated
with Macroscopic Quantum Coherence (MQC) theory, constitutes a complete two-bit
quantum computer. The manipulation of the system is easily implemented with
alternating magnetic fields. A \textit{universal} set of quantum gates is
deemed available by means of all unitary single bit operations and a
controlled-not (\textsc{cnot}) sequence. We use multi-dimensional MQC theory
and time-dependent first order perturbation theory to analyze the model. Our
calculations show that a two qubit arrangement, each having a diameter of
200nm, operating in the flux regime can be operated with a static magnetic
field of $\sim 0.1$T, and an alternating dynamic magnetic field of amplitude
$\sim 1$ Gauss and frequency $\sim 10$Hz. The operational time $\tau_{op}$ is
estimated to be $\sim 10$ns.
