Measured state assignment fidelities {{mathcal{F}}}_{1} and {{mathcal{F}}}_{2} of two consecutive JPA-assisted microwave measurements (filled circles) and corresponding QND metric ( {mathcal{Q}} , crosses) obtained in the presence of a 2-μs-long optical pump pulse of ~0.14 W applied during the first readout as a function of repetition rate and calculated dissipated optical power (top axis) together with theory (lines and 3 σ confidence bands). Approximately 1-{(1-2{η }_{rm{o}})}^{2}≈ 69 % of the average optical power sent to the sample was dissipated in the device. Empty circles (mostly overlapping with filled circles) denote measurements for which the optical pump was applied also during state preparation. Data are represented as mean ±3 σ but error bars are smaller than the marker size. The insets show pulse sequences for the differently triggered measurements. Qubit preparation, readout and optical pump are denoted by ω q , ω e and ω p , respectively.
