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Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback

Rajamani Vijay, Chris Macklin, D. H. Slichter, Steven J. Weber, Kater W. Murch, Ravi Naik, Alexander N. Korotkov, Irfan A. Siddiqi

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

Real-time quantum feedback based on weak measurement of the quantum state is used to stabilize the oscillation phase of a driven quantum bit.

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We consider the feedback stabilization of Rabi oscillations in a superconducting qubit which is coupled to a microwave readout cavity. The signal is readout by homodyne detection of the in-phase quadrature amplitude of the weak-measurement output. By multiplying the time-delayed Rabi reference, one can extract the signal, with maximum signal-to-noise ratio, from the noise current. We further track and stabilize the Rabi oscillations by using Lyapunov feedback control to properly adjust the input Rabi drives. Theoretical and simulation results illustrate the effectiveness of the proposed control law.