Optimal Control for Open Quantum System in Circuit Quantum Electrodynamics

• URL: http://arxiv.org/abs/2412.20149v1
• Date: Sat, 28 Dec 2024 13:25:39 GMT
• Title: Optimal Control for Open Quantum System in Circuit Quantum Electrodynamics
• Authors: Mo Zhou, F. A. Cárdenas-López, Sugny Dominique, Xi Chen,
• Abstract summary: We propose a quantum optimal control framework based on the Pontryagin Maximum Principle to design energy- and time-efficient pulses for open quantum systems. Our results provide a significant step toward efficient control in dissipative open systems and improved qubit readout in circuit quantum electrodynamics.
• Score: 13.781432965608595
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• Abstract: We propose a quantum optimal control framework based on the Pontryagin Maximum Principle to design energy- and time-efficient pulses for open quantum systems. By formulating the Langevin equation of a dissipative LC circuit as a linear control problem, we derive optimized pulses with exponential scaling in energy cost, outperforming conventional shortcut-to-adiabaticity methods such as counter-diabatic driving. When applied to a resonator dispersively coupled to a qubit, these optimized pulses achieve an excellent signal-to-noise ratio comparable to longitudinal coupling schemes across varying critical photon numbers. Our results provide a significant step toward efficient control in dissipative open systems and improved qubit readout in circuit quantum electrodynamics.

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