Using Spontaneous Emission of a Qubit as a Resource for Feedback Control
P. Campagne-Ibarcq, S. Jezouin, N. Cottet, P. Six, L. Bretheau, F., Mallet, A. Sarlette, P. Rouchon, B. Huard

TL;DR
This paper demonstrates a feedback control method for a transmon qubit using continuous fluorescence measurement and microwave driving, achieving stable targeted states with high efficiency and coherence.
Contribution
It introduces a real-time feedback protocol utilizing spontaneous emission for stabilizing arbitrary qubit states in the quantum regime.
Findings
Achieved 35% measurement efficiency with a Josephson mixer.
Stabilized qubit states with up to 59% excitation.
Demonstrated MIMO analog Markovian feedback in quantum systems.
Abstract
Persistent control of a transmon qubit is performed by a feedback protocol based on continuous heterodyne measurement of its fluorescence. By driving the qubit and cavity with microwave signals whose amplitudes depend linearly on the instantaneous values of the quadratures of the measured fluorescence field, we show that it is possible to stabilize permanently the qubit in any targeted state. Using a Josephson mixer as a phase-preserving amplifier, it was possible to reach a total measurement efficiency =35%, leading to a maximum of 59% of excitation and 44% of coherence for the stabilized states. The experiment demonstrates multiple-input multiple-output analog Markovian feedback in the quantum regime.
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