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To Characterize and calibrate quantum processing devices a large amount ofmeasurement data has to be collected. Active qubit reset increases the speed atwhich data can be gathered but requires additional hardware and/or calibration.The experimental apparatus can, however, be operated at elevated repetitionrates without reset. In this case, the outcome of a first measurement serves asthe initial state for the next experiment. Rol. $\textit{et al.}$ used thisrestless operation mode to accelerate the calibration of a single-qubit gate bymeasuring fixed-length sequences of Clifford gates which compose to $X$ gates[Phys. Rev. Appl. $7$, 041001 (2017)]. However, we find that, when measuringpulse sequences which compose to arbitrary operations, a distortion appears inthe measured data. Here, we extend the restless methodology by showing how toefficiently analyze restless measurements and correct distortions to achieve anidentical outcome and accuracy as compared to measurements in which thesuperconducting qubits are reset. This allows us to rapidly characterize andcalibrate qubits. We illustrate our data collection and analysis method bymeasuring a Rabi oscillation at a $250~\rm{kHz}$ repetition rate without anyreset, for a qubit with a decay rate of $1/2\pi T_1=3~\rm{kHz}$.  We also show that we can measure a single- and a two-qubit average gatefidelity with Randomized Benchmarking 20 and 8 times faster, respectively, thanmeasurements that reset the qubits through $T_1$-decay.

High-speed calibration and characterization of superconducting quantum processors without qubit reset