在二维旋转模型中使用张量网络验证相位空间方法,并与权力法相互作用进行验证
Sean R Muleady1,2, Mingru Yang3,4, Steven R White3
1JILA, National Institute of Standards and Technology and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.
Physical review letters
|October 28, 2023
概括
研究人员验证了一种半经典方法,用于模拟2D XXZ模型中的量子纠动态. 这种方法准确地预测了量子计量学的可扩展的纠资源.
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
- 量子模拟的量子模拟
背景情况:
- 精确的量子动力学模拟对于理解复杂的多体系统至关重要.
- 二维 (2D) 量子模型,特别是XXZ模型,对量子技术具有重要意义.
- 张量网络方法和半经典近似方法为模拟量子动力学提供了不同的方法.
研究的目的:
- 用对矩阵产物状态的时间依赖变化原理来评估二维功率规律交互的XXZ模型的动态.
- 为了比较半经典相空间计算 (离散截断维格纳近似 - DTWA) 与张量网络方法的准确性和效率.
- 为了验证用于量子计量学生成可扩展的纠资源的预测.
主要方法:
- 采用了对矩阵产品状态的时间依赖变化原理的扩展,以模拟2D XXZ模型动态.
- 计算的旋转挤压作为量子相关性的测量.
- 使用离散截断维格纳近似 (DTWA) 进行半古典相空间计算,并与张量网络结果进行比较.
主要成果:
- 在2D XXZ模型中,DTWA高效准确地捕捉了纠与系统大小的缩放.
- DTWA平稳态行为与张量网络的热组合计算保持一致.
- 该研究为2D量子系统中的动态计算提供了一个基准.
结论:
- 半经典DTWA是一种可靠和高效的方法,用于模拟2D量子系统中的纠动态.
- 这项工作严格验证了用于量子计量学生成可扩展纠资源的方法.
- 这些发现有助于对量子动态模拟进行基准测试和验证.
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