  We study a superconducting circuit that can act as a toolbox to generate
various Bogoliubov-linear and nonlinear quantum operations on the microwave
photon modes of superconducting resonators within one single circuit. The
quantum operations are generated by exploring dispersive four-wave mixing (FWM)
processes involving the resonator modes. Different FWM geometries can be
realized by adjusting the circuit parameters and by applying appropriate
microwave drivings. We illustrate this scheme using a circuit made of two
superconducting qubits that couple with each other. Each qubit couples with one
superconducting resonator. We also discuss main quantum errors in this scheme
and study the fidelity of the quantum operations by numerical simulation. Our
scheme provides a practical approach to realize quantum information protocols
on superconducting resonators.
