High-Performance Computing for Density Matrix Renormalization Group

Yingqi Tian; Haibo Ma

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High-Performance Computing for Density Matrix Renormalization Group

机译：密度矩阵重整化组的高性能计算

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摘要

In the last decades, many algorithms have been developed to use high-performance computing (HPC) techniques to accelerate the density matrix renormalization group (DMRG) method, an effective method for solving large active space strong correlation problems. In this article, the previous DMRG parallelization algorithms at different levels of the parallelism are introduced. The heterogeneous computing acceleration methods and the mixed-precision implementation are also presented and discussed. This mini-review concludes with some summary and prospects for future works.

机译：在过去的几十年里,许多算法开发利用高性能计算(HPC)技术来加快密度矩阵重整化群(DMRG)方法,一个有效的方法解决大型活动空间强相关的问题。以前DMRG并行算法不同级别的并行性介绍了。和mixed-precision加速度的方法实现提出和讨论。本文总结了一些未来的工作前景。

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《Current Chinese Science.》 |2023年第3期|178-186|共9页
作者
Yingqi Tian; Haibo Ma;
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作者单位

School of Chemistry and Chemical Engineering, Nanjing University, Nanjing, 210023, China;

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原文格式 PDF
正文语种英语
中图分类自然科学总论;
关键词
Density matrix renormalization group; high-performance computing; strong correlation; parallel computing; heterogeneous computing; mixed-precision optimization.;

机译：密度矩阵重整化组;高性能计算;相关性强;并行计算;异构计算;混合精度优化。;

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1. Memory,Time and Technique Aspects of Density Matrix Renormalization Group Method [J] . QIN Shao-Jin, LOU Ji-Zhong 理论物理通讯（英文版） . 2001,第11期
2. Controlled Bond Expansion for Density Matrix Renormalization Group Ground State Search at Single-Site Costs [J] . Andreas Gleis, Jheng-Wei Li, Jan von Delft Physical review letters . 2023,第24期

机译：Controlled Bond Expansion for Density Matrix Renormalization Group Ground State Search at Single-Site Costs
3. Infinite density matrix renormalization group method for solving the Ising model [J] . Chung Myung-Hoon Journal of the Korean Physical Society . 2023,第8期

机译：Infinite density matrix renormalization group method for solving the Ising model
4. Time-reversal symmetry adaptation in relativistic density matrix renormalization group algorithm [J] . Li Zhendong The Journal of Chemical Physics . 2023,第4期

机译：Time-reversal symmetry adaptation in relativistic density matrix renormalization group algorithm
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机译：MiniAPP for Limenty Matrix Renormalization Group Hamiltonian Application Kernel
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机译：ZM-MATRICES和MM-MATRICES（Z-MATRIX，M-MATRIX）。
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机译：欧洲Matrix Biology欧洲– 2018年7月庆祝欧洲结缔组织学会联合会成立50周年会议（由英国Matrix Biology学会和曼彻斯特大学Wellcome细胞基质研究信托中心组织）
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机译：国际研究会"New Development of Numerical Simulation in Low-Dimensional Quantum Systems:From Density Matrix Renormalization Group to Tensor Network Formulation"(研究会报告)
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机译：Randall-sundrum的Wilsonian Renormalization Group 1

High-Performance Computing for Density Matrix Renormalization Group

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