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We demonstrate feedback control of a superconducting transmon qubit usingdiscrete, projective measurement and conditional coherent driving. Feedbackrealizes a fast and deterministic qubit reset to a target state with 2.4% erroraveraged over input superposition states, and cooling of the transmon from 16%spurious excitation to 3%. This closed-loop qubit control is necessary formeasurement-based protocols such as quantum error correction and teleportation.

Feedback control of a solid-state qubit using high-fidelity projective measurement