Our research focuses on these fully quantum mechanical integrated circuits, combining basic quantum mechanics, superconducting electronics, microwave circuits, quantum optics, and low-temperature measurement. The backbone of our work is a system known as circuit quantum electrodynamics (cQED). This system consists of a superconducting qubit coupled to an on-chip microwave resonator; the qubit can absorb and re-emit a single photon into the cavity hundreds of times before the photon is lost. This strong coupling opens the door to a vast array of experiments in quantum computing and non-linear optics. These are the two main thrusts of my research.