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对于q-变形的Kogut-Susskind测量理论的量子和经典旋转网络算法
Torsten V Zache1, Daniel González-Cuadra1, Peter Zoller1
1Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria.
Physical review letters
|November 13, 2023
概括
我们引入q-变形的Kogut-Susskind格子尺度理论,以规范非阿贝尔尺度理论. 这使得新的量子和经典旋转网络算法能够模拟这些复杂的系统.
科学领域:
- 高能物理 高能物理
- 量子计算是一种量子计算.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 模拟非阿贝尔尺度理论在计算上具有挑战性,因为它们具有无限维的希尔伯特空间.
- 现有的方法很难使本地希尔伯特空间规律化,同时保持必要的对称性.
研究的目的:
- 开发一种新的框架来模拟非阿贝尔尺度理论,使用q-变形的Kogut-Susskind格子尺度理论.
- 为了使这些理论能够创建高效的量子和经典算法.
主要方法:
- 使用q-变形的Kogut-Susskind格子尺度理论,变形参数为q=e^{2πi/(k+2) }.
- 开发量子启发的经典自旋网络算法.
- 利用张量网络表示来进行二维变量基态模拟.
- 构建一个可扩展的量子算法实时演变通过分析对方的斑块相互作用.
主要成果:
- 证明了无限维希尔伯特空间的受控规范化,同时保持对称性.
- 显示出适用于张量网络表示的适用性,达到连续的极限与k=O(10).
- 开发了一种可扩展的量子算法,用于实时演化SU(2)_{k}测量理论.
结论:
- 在高能物理中,Q变形为应用张量网络方法提供了一个强大的新视角.
- 这种方法为非阿贝尔尺度理论的量子模拟开辟了道路,特别是在非平衡体制中.
- 开发的方法为研究复杂的量子系统提供了一条途径,而经典方法目前是有限的.
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