  We propose a fast scheme to generate Schr\"odinger cat states in a
superconducting resonator using a continuously driven qubit without resorting
to the dispersive regime, two-photon drives, or engineered two-photon
dissipation. We provide analysis for when the qubit is on and off resonance
from the drive. We extend our analysis to account for a third level in a
weakly-anharmonic qutrit. We also discuss the case of a strongly-anharmonic
qutrit. Throughout the paper, we corroborate our analytical results with
numerical simulations in the presence of energy relaxation and dephasing of the
qubit and resonator using realistic experimental parameters.
