Optimal Control for Open Quantum System in Circuit Quantum Electrodynamics

Fuente: arXiv
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Hauptverfasser: Zhou, Mo, Cárdenas-López, F. A., Dominique, Sugny, Chen, Xi
Format: Preprint
Veröffentlicht: 2024
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author Zhou, Mo
Cárdenas-López, F. A.
Dominique, Sugny
Chen, Xi
author_facet Zhou, Mo
Cárdenas-López, F. A.
Dominique, Sugny
Chen, Xi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20149
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal Control for Open Quantum System in Circuit Quantum Electrodynamics
Zhou, Mo
Cárdenas-López, F. A.
Dominique, Sugny
Chen, Xi
Quantum Physics
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.
title Optimal Control for Open Quantum System in Circuit Quantum Electrodynamics
topic Quantum Physics
url https://arxiv.org/abs/2412.20149