匹配门电路可以深度热化
Mircea Bejan1, Benjamin Béri1,2, Max McGinley1
1Cavendish Laboratory, University of Cambridge, T.C.M. Group, J.J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom.
Physical review letters
|July 31, 2025
概括
来自随机量子电路的预测集团表现出深度热化,在高斯费米子状态上汇聚到一个通用状态统一. 这种趋同是使用瓦瑟斯坦-1距离测量,揭示了量子统计力学的洞察力.
科学领域:
- 量子信息科学 量子信息科学
- 统计力学 统计力学
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 随机量子电路对于研究量子力学至关重要.
- 投射式测量可以改变量子系统的状态.
- 热化描述了一个系统到达平衡的方法.
研究的目的:
- 严格分析随机量子电路上的投射测量产生的"投射组合".
- 为了证明这些投射组合的深度热化.
- 建立一个可计算的指标来量化深度热化中的收.
主要方法:
- 通过随机匹配门电路上的投射测量生成的合集的数学分析.
- 对预测组合的瞬间趋同的证明.
- 应用瓦瑟斯坦-1距离来测量预测和通用集成的近距离.
主要成果:
- 对于大型系统大小,投影集团汇聚在高斯 Fermionic 状态上的通用集团统一.
- 瓦瑟斯坦-1距离被证明是深度热化的适当和高效的可计算措施.
- 数字模拟表明,深度热化发生在与L^2成比例的时间尺度上,与量子信息扩散有关.
结论:
- 来自随机量子电路的预测集团表现出深度热化,汇聚到一个通用的高斯费米子状态.
- 瓦瑟斯坦-1距离为量化深度热化提供了一个强大的方法.
- 这些发现为探测量子统计力学和对量子模拟器进行基准测试提供了新的实验途径.
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