张量分解可区分的集群. 一,三重分解分解
Charlotte Rickert1, Denis Usvyat1, Daniel Kats2
1Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-Straße 2, 12489 Berlin, Germany.
The Journal of chemical physics
|August 8, 2025
概括
我们使用张量分解开发了一种具有成本效益的可区分集群近似方法,用于使用单元,双元和代三元 (DC-CCSDT) 的合集群. 这种方法显著降低了计算成本,同时保持了量子化学计算的准确性.
科学领域:
- 量子化学 是一个量子化学.
- 计算化学的计算化学
- 理论化学 理论化学
背景情况:
- 结合集群方法对于准确的电子结构计算至关重要.
- 像CCSDT这样的高级合集群方法在计算上昂贵.
- 需要近似来使这些方法适用于更大的系统.
研究的目的:
- 提出一种成本降低的方法,用于可区分的集群近似与单个,双重和代三重 (DC-CCSDT) 的合集群.
- 提高高水平合集群计算的效率.
- 为了保持精度,同时减少计算缩放.
主要方法:
- 使用单数-值-分解 (SVD) 基础的三倍幅度的张量分解.
- 电子排斥积分的密度匹配或巧尔斯基因数分解.
- 三倍余量的近似和使用近似的CC3密度矩阵.
主要成果:
- 减少了计算缩放到N6.6.
- 证明了小的SVD错误与中等的截断值,特别是CCSD的能量校正.
- 确认SVD错误与系统大小的线性增长,表明大小的扩展性.
结论:
- 基于SVD的DC-CCSDT方法可以大幅降低成本.
- 该方法保持了与更昂贵的方法相比较的高精度.
- 这种方法适合在量子化学中研究更大的分子系统.
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