在Bardeen-Cooper-Schrieffer配对动力学中,Trotter过渡
Aniket Patra1, Emil A Yuzbashyan2, Boris L Altshuler3
1Institute for Basic Science, Center for Theoretical Physics of Complex Systems, Daejeon 34126, Republic of Korea.
Physical review. E
|February 20, 2026
概括
量子计算中的流浪可能会导致混乱. 这项研究揭示了一个"Trotter过渡",其中动态从弱混沌转变为短相关性,影响热化.
科学领域:
- 量子信息科学 量子信息科学
- 凝聚物质物理学 凝聚物质物理学
- 量子计算是一种量子计算.
背景情况:
- 热化对于量子计算至关重要.
- 托特化是基于门的量子计算中的标准技术.
- 了解Trotterization引起的混乱对于量子算法稳定性至关重要.
研究的目的:
- 为了调查由Trotterization驱动的热化的普遍方面.
- 在一个特定的量子模型中分析Trotterization引起的混乱动态.
- 为了描述Trotterization时间步骤对混沌量化器的影响.
主要方法:
- 使用了减少的Bardeen-Cooper-Schrieffer模型.
- 使用利亚普诺夫光谱和科尔莫戈罗夫-西奈的动力学特征.
- 数字拟合的最大利亚普诺夫指数数据来导出缩放规律.
主要成果:
- 在关键时间步骤 τ_{c}≈sqrt[N] 中观察到一个Trotter过渡.
- 确定了不同的动态模式:弱混沌 (τ≪τ_{c}) 和短时间相关性 (τ≫τ_{c}).
- 为利亚普诺夫指数推导了两个缩放定律,大 τ 极限与的顶部图匹配.
结论:
- 托特化引入了混乱动态的过渡,对热化有影响.
- 这些发现与当前的量子计算机有关,并建议新的研究途径.
- 这项研究为在Trotter过渡中探测复杂的量子可观测物开辟了可能性.
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