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Main Authors: Huang, Tangyou, Zhu, Jing-Jun, Ni, Zhong-Yi
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.23373
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author Huang, Tangyou
Zhu, Jing-Jun
Ni, Zhong-Yi
author_facet Huang, Tangyou
Zhu, Jing-Jun
Ni, Zhong-Yi
contents Hybrid quantum-classical algorithms hold great promise for solving quantum control problems on near-term quantum computers. In this work, we employ the hybrid framework that integrates digital quantum simulation with classical optimization to achieve optimal engineering of quantum many-body systems. To evaluate the overall performance of this method, we introduce a general metric termed control optimality, which accounts for constraints on both classical and quantum components. As a concrete example, we investigate the time-optimal control for perfect state transfer in a one-dimensional spin model using the variational quantum algorithm, closely approaching the quantum speed limit. Moreover, we discuss the emergent gradient behavior and error robustness, demonstrating the feasibility of applying hybrid quantum algorithms to solve quantum optimal control problems. These results establish a systematic framework for hybrid algorithms to address quantum control problems on near-term quantum platforms.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23373
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Control by Variational Quantum Algorithms
Huang, Tangyou
Zhu, Jing-Jun
Ni, Zhong-Yi
Quantum Physics
Hybrid quantum-classical algorithms hold great promise for solving quantum control problems on near-term quantum computers. In this work, we employ the hybrid framework that integrates digital quantum simulation with classical optimization to achieve optimal engineering of quantum many-body systems. To evaluate the overall performance of this method, we introduce a general metric termed control optimality, which accounts for constraints on both classical and quantum components. As a concrete example, we investigate the time-optimal control for perfect state transfer in a one-dimensional spin model using the variational quantum algorithm, closely approaching the quantum speed limit. Moreover, we discuss the emergent gradient behavior and error robustness, demonstrating the feasibility of applying hybrid quantum algorithms to solve quantum optimal control problems. These results establish a systematic framework for hybrid algorithms to address quantum control problems on near-term quantum platforms.
title Optimal Control by Variational Quantum Algorithms
topic Quantum Physics
url https://arxiv.org/abs/2505.23373