Stabilizing superconducting qubits by coupling to a cavity

We consider a superconducting qubit capacitively coupled with a one-dimensional cavity. This system can be mapped to a model consisting of a quantum mechanical harmonic oscillator interacting with a two level system.The unavoidable influence of the environment causes the qubit to loose its coherence. Here, we focus on whether and under which conditions, the stability of qubit's states can benefit from being entangled with resonator states. We identify parameters relevant for the experimental realisation, in order to determine the optimal range in which stabilizing takes place. The total system is analyzed in the context of the Jaynes-Cummings-Model, both by applying a RWA and without any approximation.