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Development of parameter optimization strategies of quantum circuits for ab-initio calculations

Research Project

Project/Area Number 20K22330
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0202:Condensed matter physics, plasma science, nuclear engineering, earth resources engineering, energy engineering, and related fields
Research InstitutionOsaka University

Principal Investigator

Mitarai Kosuke  大阪大学, 基礎工学研究科, 助教 (50855111)

Project Period (FY) 2020-09-11 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords量子計算 / 量子化学 / 第一原理計算 / 量子アルゴリズム / 変分量子アルゴリズム / VQE / 量子コンピュータ / NISQ
Outline of Research at the Start

量子コンピュータは、従来の計算機では計算リソースの問題で表現が難しい量子状態をも生成できると期待されており、この特長を用いれば、従来の手法ではその解析が困難であった量子系の性質を明らかにできる可能性がある。近未来の量子デバイスを量子系の解析へと応用する手法としては、 Variational Quantum Eigensolver が有力である。本研究では、この量子アルゴリズムと、従来の摂動論的な計算手法をうまく組み合わせることにより、その計算の効率化に取り組む。

Outline of Final Research Achievements

Variational quantum eigensolver is a promising candidate for applying quantum computers to quantum chemistry calculations. It uses parameterized quantum circuits whose parameters are iteratively optimized to generate a target quantum state which is realized in real materials. In this project, a novel parameter optimization strategy that is based on a perturbative expansion of the energy expectation value on a classical computer has been developed. After mathematical formulation of the idea, the strategy is successfully tested numerically on model molecules.

Academic Significance and Societal Importance of the Research Achievements

量子コンピュータの最も最初の応用先として、量子化学計算が有望視されており、特に近未来量子コンピュータの利用方法として有力なのが変分量子固有値ソルバである。本研究はこれに対して効率的なパラメータの最適化方法を構築できたため、量子コンピュータの実応用に向けた一歩となるものである。また本手法は古典コンピュータ上でほぼ最適なパラメータやエネルギー値を得ることもできるため、変分量子固有値ソルバの簡易的なベンチマーク手法としても利用でき、ある与えられた問題への量子コンピュータの利用価値を古典的にある程度検証できる可能性もある。

Report

(3 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • Research Products

    (24 results)

All 2022 2021 2020

All Journal Article (7 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results) Presentation (17 results) (of which Int'l Joint Research: 13 results,  Invited: 8 results)

  • [Journal Article] Computational power of one- and two-dimensional dual-unitary quantum circuits2022

    • Author(s)
      Suzuki Ryotaro、Mitarai Kosuke、Fujii Keisuke
    • Journal Title

      Quantum

      Volume: 6 Pages: 631-631

    • DOI

      10.22331/q-2022-01-24-631

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Variational quantum algorithms2021

    • Author(s)
      Cerezo M.、Arrasmith Andrew、Babbush Ryan、Benjamin Simon C.、Endo Suguru、Fujii Keisuke、McClean Jarrod R.、Mitarai Kosuke、Yuan Xiao、Cincio Lukasz、Coles Patrick J.
    • Journal Title

      Nature Reviews Physics

      Volume: 3 Issue: 9 Pages: 625-644

    • DOI

      10.1038/s42254-021-00348-9

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Experimental quantum kernel trick with nuclear spins in a solid2021

    • Author(s)
      Kusumoto Takeru、Mitarai Kosuke、Fujii Keisuke、Kitagawa Masahiro、Negoro Makoto
    • Journal Title

      npj Quantum Information

      Volume: 7 Issue: 1 Pages: 94-94

    • DOI

      10.1038/s41534-021-00423-0

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Learning temporal data with a variational quantum recurrent neural network2021

    • Author(s)
      Takaki Yuto、Mitarai Kosuke、Negoro Makoto、Fujii Keisuke、Kitagawa Masahiro
    • Journal Title

      Physical Review A

      Volume: 103 Issue: 5 Pages: 052414-052414

    • DOI

      10.1103/physreva.103.052414

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Sampling-based quasiprobability simulation for fault-tolerant quantum error correction on the surface codes under coherent noise2021

    • Author(s)
      Hakkaku Shigeo、Mitarai Kosuke、Fujii Keisuke
    • Journal Title

      Physical Review Research

      Volume: 3 Issue: 4 Pages: 043130-043130

    • DOI

      10.1103/physrevresearch.3.043130

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Overhead for simulating a non-local channel with local channels by quasiprobability sampling2021

    • Author(s)
      Mitarai Kosuke、Fujii Keisuke
    • Journal Title

      Quantum

      Volume: 5 Pages: 388-388

    • DOI

      10.22331/q-2021-01-28-388

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Constructing a virtual two-qubit gate by sampling single-qubit operations2021

    • Author(s)
      Mitarai Kosuke、Fujii Keisuke
    • Journal Title

      New Journal of Physics

      Volume: 23 Issue: 2 Pages: 023021-023021

    • DOI

      10.1088/1367-2630/abd7bc

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] NISQ algorithms for chemistry and machine learning2022

    • Author(s)
      Kosuke Mitarai
    • Organizer
      QHack2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Development of quantum machine learning algorithms and experimental realization2021

    • Author(s)
      Kosuke Mitarai
    • Organizer
      Quantum Innovation 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子計算・量子機械学習入門2021

    • Author(s)
      Kosuke Mitarai
    • Organizer
      第24回情報論的学習理論ワークショップ (IBIS2021)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Experimental realization of quantum machine learning algorithms2021

    • Author(s)
      Kosuke Mitarai
    • Organizer
      Quantum Techniques in Machine Learning 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum algorithms for quantum many-body systems on near-term quantum computers2021

    • Author(s)
      Kosuke Mitarai
    • Organizer
      New Trends in Quantum Condensed Matter Theory
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum machine learning and algorithm development2021

    • Author(s)
      Kosuke Mitarai
    • Organizer
      Physics Frontiers with Quantum Science and Technology
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quadratic Clifford expansion for efficient benchmarking and initialization of variational quantum algorithms2021

    • Author(s)
      Kosuke Mitarai , Yasunari Suzuki , Wataru Mizukami , Yuya O. Nakagawa , Keisuke Fujii
    • Organizer
      Quantum Information Processing 2021
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Parent Hamiltonian as a benchmark problem for variational quantum eigensolvers2021

    • Author(s)
      Fumiyoshi Kobayashi , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Quantum Information Processing 2021
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonlinear transformation of complex amplitudes via quantum singular value transformation2020

    • Author(s)
      Naixu Guo , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Asian Quantum Information Science 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Full simulation of fault-tolerant quantum error correction under general noise for near-term quantum devices2020

    • Author(s)
      Mitsuki Katsuda , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Asian Quantum Information Science 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Computational power of dual-unitary quantum circuits2020

    • Author(s)
      Ryotaro Suzuki , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Asian Quantum Information Science 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum error correction with adaptive syndrome measurements2020

    • Author(s)
      Shoya Takagi , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Asian Quantum Information Science 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 摂動的アプローチによる変分量子アルゴリズムの効率的初期化とベンチマーク2020

    • Author(s)
      御手洗光祐, 鈴木泰成, 水上 渉, 中川裕也, 藤井啓祐
    • Organizer
      第43回量子情報技術研究会
    • Related Report
      2020 Research-status Report
  • [Presentation] Classically Optimized Variational Quantum Eignensolver for Topological Orderd Systems2020

    • Author(s)
      Keita Osaki , Kosuke Mitarai , Keisuke Fujii
    • Organizer
      Asian Quantum Information Science 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 位相推定アルゴリズムを用いた分子のエネルギー計算にかかるコストの推定2020

    • Author(s)
      小林望 , 御手洗光祐 , 中川裕也
    • Organizer
      第1回量子ソフトウェア研究発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] Extending the variational quantum eigensolver for practical applications2020

    • Author(s)
      Kosuke Mitarai
    • Organizer
      Quantum Week of Fun - Quantum Computing × Quantum Chemistry
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 物性計算へのNISQ デバイス応用に向けたアルゴリズム2020

    • Author(s)
      御手洗光祐
    • Organizer
      量子多体系の熱力学 --数理の発展と展望
    • Related Report
      2020 Research-status Report
    • Invited

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Published: 2020-09-29   Modified: 2023-01-30  

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