Multiple photon effects in coupled anharmonic oscillators for circuit QED architectures

In recent years many superconducting qubits have emerged that are essentially weak anharmonic oscillators. When these systems are coupled, due to the weak anharmonicity the major source of error in this system is leakage. In this talk I will present a method for reducing leakage when implementing a two qubit gate. I will also show that due to this weak anharmonicity new multi-photon transitions emerge that can be used for implementing new types of two qubit gates.