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A nonlinear resonant circuit comprising a SQUID magnetometer and a parallelcapacitor is studied as a readout scheme for a persistent-current (PC) qubit.The flux state of the qubit is detected as a change in the Josephson inductanceof the SQUID magnetometer, which in turn mediates a shift in the resonancefrequency of the readout circuit. The nonlinearity and resulting hysteresis inthe resonant behavior are characterized as a function of the power of both theinput drive and the associated resonance peak response. Numerical simulationsbased on a phenomenological circuit model are presented which display thefeatures of the observed nonlinearity.Comment: 9 pages, 9 figure

Nonlinear resonant behavior of a dispersive readout circuit for a superconducting flux qubit