  Superconducting circuits present a promising platform with which to realize a
quantum refrigerator. Motivated by this, we fabricate and perform spectroscopy
of a gated Cooper-pair box, capacitively coupled to two superconducting
coplanar waveguide resonators with different frequencies. We experimentally
demonstrate the strong coupling of a charge qubit to two superconducting
resonators, with the ability to perform voltage driving of the qubit at GHz
frequencies. We go on to discuss how the measured device could be modified to
operate as a cyclic quantum refrigerator by terminating the resonators with
normal-metal resistors acting as heat baths.
