INFORMATION PROCESSING WITH QUBITS IN A MICROWAVE FIELD

Recently, great interest has attracted many proposals to build and construct the quantum
computer both theoretically and experimentally. The superconducting Josephson junc
tions (Cooper-pair box) circuits is one of the most promising hardware architecture for
the realization of a scalable quantum computer processor. The production, controlling
and manipulation of the quantum bits are still not completely solved. In this thesis we
studied the interaction of the multi-photon field with single Cooper-pair box. First, the
theoretical model which describes our system is reported. The analytical expression of
the reduced density operator of the cavity field and the Cooper-pair is calculated. The
dynamical properties of various parameters on the mean number of the Cooper pairs
are studied. It is shown that the system parameters play an important role in the dy
namics of the qubits in the system.