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We study bifurcation measurement of a multi-level superconducting qubit usinga nonlinear resonator biased in the straddling regime, where the resonatorfrequency sits between two qubit transition frequencies. We find thathigh-fidelity bifurcation measurements are possible because of the enhancedqubit-state-dependent pull of the resonator frequency, the behavior ofqubit-induced nonlinearities and the reduced Purcell decay rate of the qubitthat can be realized in this regime. Numerical simulations find up to athreefold improvement in qubit readout fidelity when operating in, rather thanoutside of, the straddling regime. High-fidelity measurements can be obtainedat much smaller qubit-resonator couplings than current typical experimentalrealizations, reducing spectral crowding and potentially simplifying theimplementation of multi-qubit devices.

Improved qubit bifurcation readout in the straddling regime of circuit QED