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相关概念视频

Differential Form of Maxwell's Equations01:17

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James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
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Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
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相关实验视频

Updated: May 9, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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克利福德电路增强了时间依赖的变化原理.

Xiangjian Qian1, Jiale Huang1, Mingpu Qin1,2

  • 1Shanghai Jiao Tong University, Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai 200240, China.

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概括
此摘要是机器生成的。

我们介绍了一种新方法,将克利福德电路与时间依赖变量原理 (TDVP) 结合起来,以模拟多体量子系统. 这种方法减少了纠,使得使用更少的计算资源实现更可靠和更长期的模拟.

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科学领域:

  • 量子多体物理学 量子多体物理学
  • 计算物理 计算物理
  • 量子信息是一种量子信息.

背景情况:

  • 矩阵产品状态 (MPS) 是模拟量子系统的强大工具.
  • 密度矩阵重规范化组 (DMRG) 是一个常见的基于MPS的算法.
  • 在量子系统中模拟时间演变是由于纠增长而要求计算的.

研究的目的:

  • 为了将克利福德电路增强矩阵产品状态 (CA-MPSs) 推广到时间进化模拟.
  • 开发一种计算效率高的方法来模拟多体量子系统的动态.
  • 为了减少时间演变期间的纠,以提高模拟的准确性和持续时间.

主要方法:

  • 该研究将CA-MPS概括为时间依赖变量原理 (TDVP) 框架.
  • 克利福德电路应用于每个TDVP步骤,并采用两站式扫描过程来减少纠.
  • 哈密尔顿式是使用克利福德电路转换的,由于术语数量不会增加,因此开销最小.

主要成果:

  • 克利福德电路增强的TDVP方法成功地减少了时间进化过程中的纠.
  • 在XXZ和2D海森伯格模型中的模拟以及基塔耶夫蜂巢模型显示,在更长的时间尺度上可靠性得到改善.
  • 该方法证明了能够有效地处理非稳定剂纠的能力.

结论:

  • 克利福德电路增强型TDVP方法是模拟多体量子系统时间演变的宝贵工具.
  • 这种方法可显著减少准确模拟所需的计算资源.
  • 该方法提高了量子系统时间演变模拟的可靠性和持续时间.