Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation

We propose a realizable architecture using one-dimensional transmission line resonators to reach the strong-coupling limit of cavity quantum electrodynamics in superconducting electrical circuits. The vacuum Rabi coupling between a single quantized field mode and a Cooper-pair box qubit can be made much stronger than the decay rates of either the field or the qubit. We introduce a new Hamiltonian for the system and study dispersive coupling, quantum non-demolition measurement, and qubit-qubit coupling mediated by the cavity.