克利福德基于电路的启发式优化法米离子到量子比特的映射
Jeffery Yu1,2,3, Yuan Liu4,5,6, Sho Sugiura7,3
1Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, United States.
Journal of chemical theory and computation
|September 15, 2025
概括
一个新的启发式数值优化框架改善了量子模拟的费米翁到量子比特映射. 优化的映射显著降低了平均保利重量,提高了复杂费米子系统的量子计算效率.
科学领域:
- 量子计算是一种量子计算.
- 计算物理学的计算物理.
- 量子信息科学是一种量子信息科学.
背景情况:
- 模拟相互作用的费米子哈密尔顿子是量子计算机的一个关键应用.
- 有效的费米子到量子比特映射对于编码非本地费米子自由度到本地量子比特自由度至关重要.
- 现有的映射方法往往受到限制,或依赖于计算上昂贵的粗暴力量搜索.
研究的目的:
- 开发一个可扩展和有效的启发式数值优化框架,用于 Fermion-to-qubit映射.
- 为了设计适合特定量子模拟的映射,汉密尔顿.
- 为了提高费米子系统量子模拟的效率.
主要方法:
- 将费米子到量子比特映射问题翻译为克利福德电路优化问题.
- 采用模拟回火来优化问题的平均保利重量哈密尔顿.
- 对比数值优化映射与传统方法,包括基于三元树的映射.
主要成果:
- 数字优化映射在各种费米奥汉密尔顿的传统对应物中始终表现优于传统对应物.
- 在中等复杂度的哈密尔顿数中,平均保利重量得到了15%-40%的改善.
- 对于6x6近邻跳跃 (> 40%) 和哈伯德模型 (> 20%) 的显著改进.
- 确定了特定相互作用的哈密尔顿数,其中优化的映射超越了所有基于三元树的方法.
结论:
- 启发式数值优化提供了一种有效的方法,用于生成定制的费米子到量子比特映射.
- 开发的框架提高了复杂费米子系统量子模拟的可行性和效率.
- 优化的映射代表了利用量子计算机在凝聚物质物理学和量子化学方面的重大进步.
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