Quantum state sensitivity of an autoresonant superconducting circuit

When a frequency chirped excitation is applied to a classical high-Q nonlinear oscillator, its motion becomes dynamically synchronized to the drive and large oscillation amplitude is observed, provided the drive strength exceeds the critical threshold for autoresonance. We demonstrate that when such an oscillator is strongly coupled to a quantized superconducting qubit, both the effective nonlinearity and the threshold become a nontrivial function of the qubit-oscillator detuning. Moreover, the autoresonant threshold is dependent on the quantum state of the qubit and may be used to realize a high-fidelity, latching readout whose speed is not limited by the oscillator Q.