Three-qubit interaction in superconducting circuits

Current circuit QED theory for superconducting qubits evaluates the Hamiltonian of quantum subsystem up to qubit-qubit interactions. In multiqubit circuits we consider further precision in modeling analysis by considering many-body interaction terms, whose presence can either help reduce the algorithmic depth, or manifest the error rate of spectators. In this talk we propose extended circuit QED modeling and the major differences it can make.