基于流量采样的纠和机器学习缺陷的缺陷
Andrea Bulgarelli1, Elia Cellini1, Karl Jansen2,3
1University of Turin and INFN, Department of Physics, Turin unit, Via Pietro Giuria 1, I-10125 Turin, Italy.
Physical review letters
|May 2, 2025
概括
我们开发了一种使用生成模型计算格子量子场理论中的雷尼纠 entropies 的新方法. 这种技术改进了现有的量子系统的蒙特卡洛计算.
科学领域:
- 量子场理论 量子场理论
- 计算物理 计算物理
- 机器学习 机器学习
背景情况:
- 计算纠 entropies对于理解量子多体系统至关重要.
- 像蒙特卡洛这样的传统数值方法在效率和扩展方面面临挑战.
- 生成模型为复杂系统模拟提供了一个新的范式.
研究的目的:
- 引入一种用于计算雷尼纠 entropies 的新型数值技术.
- 为了利用生成模型和基于流的方法用于晶格量子场理论.
- 证明拟议方法与既有技术的有效性.
主要方法:
- 使用生成模型,特别是基于流的方法.
- 将复制技巧与自定义神经网络架构相结合.
- 在连接两个复制品的格子缺陷周围实施技术.
- 测试二维和三维的phi^4标量场理论.
主要成果:
- 这种新的技术超过了最先进的蒙特卡洛计算.
- 该方法在缺陷大小方面显示出有希望的缩放行为.
- 成功应用到二维和三维的 phi^4 标量场理论.
结论:
- 生成模型为晶格场理论中的量子信息研究提供了一个强大的新工具.
- 拟议的方法为纠的计算提供了一种更有效和更可扩展的方法.
- 这项工作为将机器学习应用于量子物理学的基本问题开辟了道路.
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