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High Performance Computing for Quantum Model Simulations on Exascale Computers

Research Project

Project/Area Number 18K11345
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 60100:Computational science-related
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

Yamada Susumu  国立研究開発法人日本原子力研究開発機構, システム計算科学センター, 研究主幹 (80360436)

Co-Investigator(Kenkyū-buntansha) 永井 佑紀  国立研究開発法人日本原子力研究開発機構, システム計算科学センター, 副主任研究員 (20587026)
大橋 洋士  慶應義塾大学, 理工学部(矢上), 教授 (60272134)
町田 昌彦  国立研究開発法人日本原子力研究開発機構, システム計算科学センター, 研究主席 (60360434)
Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords高性能計算 / 固有値計算 / LOBPCG法 / GPU / 複数固有値 / マルチCPU / 並列計算 / マルチGPU / ハミルトニアン / LOPBCG法 / シェアードメモリ / エクサスケール計算機 / 強相関量子多体モデル
Outline of Final Research Achievements

In this study, we have studied parallelization and acceleration techniques for the LOBPCG method, which is one of the eigenvalue solvers for a quantum many-body model with strong correlation between electrons. The LOBPCG method is composed of a combination of linear operations. Therefore, we have developed routines for the linear operations in consideration of the algorithm of the LOBPCG method and the characters of the models. The simulation results show that the LOBPCG method using our routines can achieve higher performance.

Academic Significance and Societal Importance of the Research Achievements

計算機の大規模化に伴ってこれまでよりも大規模な問題が計算できるようになってきたが、計算機の構造が複雑化しているため、これまでの方法では高速に計算することが難しくなってきた。そこで、固有値計算ルーチンの1つであるLOBPCG法を対象にしてはいるが、最新の計算機の構造を考慮した高速化や効果的な並列化の方法を提案し、これまで以上に大きい物理モデルの計算を可能にするとともに、実際にこれまで以上に高速計算できることを確認した。この高速化や並列化の技術は他の計算に利用できる可能性があり、今回の研究成果は最新の計算機の有効利用に資する成果でもあると考えている。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (14 results)

All 2023 2022 2021 2020 2019

All Journal Article (9 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 9 results,  Open Access: 5 results) Presentation (5 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Self-learning Monte Carlo for non-Abelian gauge theory with dynamical fermions2023

    • Author(s)
      Nagai Yuki、Tanaka Akinori、Tomiya Akio
    • Journal Title

      Physical Review D

      Volume: 107 Issue: 5 Pages: 1-16

    • DOI

      10.1103/physrevd.107.054501

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] High Performance Parallel LOBPCG Method for Large Hamiltonian Derived from Hubbard Model on Multi-GPU Systems2022

    • Author(s)
      Yamada Susumu、Imamura Toshiyuki、Machida Masahiko
    • Journal Title

      SCFA 2022: Supercomputing Frontiers, Lecture Notes in Computer Science

      Volume: 13214 Pages: 1-19

    • DOI

      10.1007/978-3-031-10419-0_1

    • ISBN
      9783031104183, 9783031104190
    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sparse modeling of large-scale quantum impurity models with low symmetries2021

    • Author(s)
      Shinaoka Hiroshi、Nagai Yuki
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 4 Pages: 045120-1

    • DOI

      10.1103/physrevb.103.045120

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling2020

    • Author(s)
      Kheirkhah Majid、Yan Zhongbo、Nagai Yuki、Marsiglio Frank
    • Journal Title

      Physical Review Letters

      Volume: 125 Issue: 1

    • DOI

      10.1103/physrevlett.125.017001

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sparse modeling approach to obtaining the shear viscosity from smeared correlation functions2020

    • Author(s)
      Itou Etsuko、Nagai Yuki
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 7 Pages: 1-31

    • DOI

      10.1007/jhep07(2020)007

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] N-independent Localized Krylov-Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors2020

    • Author(s)
      Nagai Yuki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 89 Issue: 7 Pages: 074703-074703

    • DOI

      10.7566/jpsj.89.074703

    • NAID

      40022283418

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] High Performance Eigenvalue Solver for Hubbard Model: Tuning Strategies for LOBPCG Method on CUDA GPU2020

    • Author(s)
      Susumu Yamada, Masahiko Machida, Toshiyuki Imamura
    • Journal Title

      Parallel Computing: Technology Trends

      Volume: 36 Pages: 105-113

    • DOI

      10.3233/apc200030

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Smooth Self-energy in the Exact-diagonalization-based Dynamical Mean-field Theory: Intermediate-representation Filtering Approach2019

    • Author(s)
      Nagai Yuki、Shinaoka Hiroshi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 88 Issue: 6 Pages: 064004-064004

    • DOI

      10.7566/jpsj.88.064004

    • NAID

      40021915212

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Smooth self-energy in the exact-diagonalization-based dynamical mean-field theory: Intermediate-representation filtering approach2019

    • Author(s)
      Yuki Nagai, Hiroshi Shinaoka
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 印刷中

    • NAID

      40021915212

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 複数固有値計算に対するLOBPCG法の収束性の改善方法2023

    • Author(s)
      山田進、今村俊幸、町田昌彦
    • Organizer
      第188回ハイパフォーマンスコンピューティング研究発表会
    • Related Report
      2022 Annual Research Report
  • [Presentation] High performance parallel LOBPCG method for large Hamiltonian derived from Hubbard model on multi-GPU systems2022

    • Author(s)
      Susumu Yamada, Toshiyuki Imamura, Machida Masahiko
    • Organizer
      Supercomputing Asia 2022 (SCA2022)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Tuning Strategy of Solving the Hubbard Model by LOBPCG Method on CUDA GPU2019

    • Author(s)
      Susumu Yamada, Toshiyuki Imamura, Masahiko Machida
    • Organizer
      15th U.S. National Congress on Computational Mechanics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] High performance eigenvalue solver for Hubbard model: Tuning strategies for LOBPCG method on CUDA GPU2019

    • Author(s)
      Susumu Yamada, Toshiyuki Imamura, Masahiko Machida
    • Organizer
      Parallel Computing 2019 (ParCo 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] ハバードモデルのハミルトニアンに対する高性能固有値ソルバ2019

    • Author(s)
      山田進
    • Organizer
      大規模並列数値計算技術に関する研究集会(LSPANC2019 March)
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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