反绝热量子优化用于施温格模型中高效态制备
Counterdiabatic quantum optimization for efficient state preparation in the Schwinger model
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中文总结 AI 辅助
本文系统分析DC-QAOA等反绝热变体在施温格模型基态制备中的表现,证明其相比标准QAOA能降低电路深度并提升制备效率,为规范理论的高效量子模拟提供实用途径。
中文摘要 AI 辅助
量子近似优化算法(QAOA)的设计基于绝热定理,是制备规范理论基态的主要变分量子算法之一。最近提出的变体DC-QAOA引入了反绝热驱动以加速绝热过程,从而减少电路深度和运行时间。在本工作中,我们从理论和计算两个角度,对DC-QAOA及相关反绝热变体在制备施温格模型(典型的(1+1)维格点规范理论)基态方面进行了系统分析。将这些方法与标准QAOA进行基准比较,我们表明反绝热驱动能改善基态制备,同时降低电路深度要求。我们的结果确立了反绝热协议作为实现规范理论高效量子模拟的实用途径。
英文摘要
The Quantum Approximate Optimization Algorithm (QAOA), whose design is underpinned by the adiabatic theorem, is one of the leading variational quantum algorithms for preparing the ground states of gauge theories. A recently proposed variant, DC-QAOA, incorporates counterdiabatic driving to accelerate the adiabatic process, reducing both circuit depth and runtime. In this work, we present a systematic analysis, from both theoretical and computational perspectives, of DC-QAOA and related counterdiabatic variants for preparing the ground state of the Schwinger model, the paradigmatic (1+1)-dimensional lattice gauge theory. Benchmarking these methods against standard QAOA, we show that counterdiabatic driving improves ground-state preparation while lowering circuit depth requirements. Our results establish counterdiabatic protocols as a practical route towards efficient quantum simulation of gauge theories.
发表机构
- School of Physics and Astronomy, University of Southampton(南安普顿大学物理与天文学院)
- School of Mathematical Sciences, University of Southampton(南安普顿大学数学科学学院)
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