Feedback Control of Rabi Oscillations in Circuit QED

Abstract

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. 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.

5 pages, 3 figures

References in corpus (20)

• Superconducting Circuits and Quantum Information
• Quantum information processing with circuit quantum electrodynamics
• High-fidelity readout and control of a nuclear spin qubit in silicon
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Quantum back-action of variable-strength measurement
• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Quantum-enhanced optical phase tracking
• Controlled catch and release of microwave photon states
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Quantum Feedback Networks: Hamiltonian Formulation
• Control and Tomography of a Three Level Superconducting Artificial Atom
• Persistent control of a superconducting qubit by stroboscopic measurement feedback
• Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise
• Bayesian parameter inference from continuously monitored quantum systems
• Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
• Robustness of System-Filter Separation for the Feedback Control of a Quantum Harmonic Oscillator Undergoing Continuous Position Measurement
• Confidence and Backaction in the Quantum Filter Equation

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• Fast and high-fidelity generation of steady-state entanglement using pulse modulation and parametric amplification
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• Realization of quantum gates by Lyapunov control
• Rapid estimation of drifting parameters in continuously measured quantum systems
• Real-time quantum state estimation in circuit QED via Bayesian approach
• Dissipative entanglement preparation via Rydberg antiblockade and Lyapunov control
• Binary Discrimination in Quantum Systems via Hypothesis Testing