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トポロジカル相における熱輸送現象の理論的研究

Research Project

Project/Area Number 17J00743
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section国内
Research Field Condensed matter physics II
Research InstitutionThe University of Tokyo

Principal Investigator

吉岡 信行  東京大学, 理学系研究科, 特別研究員(DC1)

Project Period (FY) 2017-04-26 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2019: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2018: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2017: ¥600,000 (Direct Cost: ¥600,000)
Keywords量子物理 / 非平衡現象 / 物性物理 / ニューラルネットワーク / ボルツマンマシン / 変分モンテカルロ / 古典モンテカルロ / カイラル超伝導体 / 熱ホール効果 / 量子相図
Outline of Annual Research Achievements

2019年度には、4本の原著論文の執筆、3件の招待講演、5件のセミナー発表に加え、多数の学会発表を行なった。本年度は共同研究を積極的に行い、(1)量子アルゴリズムの開発、(2)非平衡ダイナミクスにおける誤差評価、(3)熱化を伴わない特異的な量子多体模型の固有状態、の3点に関する研究を行なった。ここでは、特に(1)に関して記述する。

(1)量子アルゴリズム開発
近年の量子情報処理技術の発展によって実現されつつある、誤り訂正機能を持たないようなO(10) - O(100)個の量子ビットから構成される量子デバイスのことを、NISQ(Noisy Intermediate-Scale Quantum)デバイスと呼ぶ。その量子性を活用することで、最先端のスーパーコンピュータでも不可能な大規模計算を実現できると期待されている。特に、量子開放系が長時間後に到達する「非平衡定常状態」は、量子デバイス設計を含めた産業応用の観点からも非常に重要だが、NISQデバイスを用いて求める手法は知られていなかった。
株式会社QunaSysとの共同研究である本研究では、量子コンピュータを用いて非平衡定常状態を求めるアルゴリズム"dissipative-system Variational Quantum Eigensolver"を提案した。これにより、孤立系における基底状態を求める変分量子アルゴリズムであるVQEが、さらに広範な系に適用可能となった。論文では、提案手法のデモンストレーションとして、数値計算による動作シミュレーションと、量子コンピュータの実機を用いた実験結果を示している。特に後者では、Rigetti computing社が提供するクラウド型量子コンピュータ"Rigetti Quantum Cloud Service"を用いてdVQEによる非平衡定常状態を計算し、理論予測と一致することを確かめた。

Research Progress Status

令和元年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和元年度が最終年度であるため、記入しない。

Report

(3 results)
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (23 results)

All 2020 2019 2018 2017

All Journal Article (7 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 7 results) Presentation (16 results) (of which Int'l Joint Research: 11 results,  Invited: 3 results)

  • [Journal Article] Universal Error Bound for Constrained Quantum Dynamics2020

    • Author(s)
      Zongping Gong, Nobuyuki Yoshioka, Naoyuki Shibata, and Ryusuke Hamazaki
    • Journal Title

      Physical Review Letters

      Volume: 124 Issue: 21 Pages: 210606-210606

    • DOI

      10.1103/physrevlett.124.210606

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations2020

    • Author(s)
      Zongping Gong, Nobuyuki Yoshioka, Naoyuki Shibata, and Ryusuke Hamazaki
    • Journal Title

      Physical Review A

      Volume: 101 Issue: 5 Pages: 052122-052122

    • DOI

      10.1103/physreva.101.052122

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Onsager’s Scars in Disordered Spin Chains2020

    • Author(s)
      Shibata Naoyuki、Yoshioka Nobuyuki、Katsura Hosho
    • Journal Title

      Physical Review Letters

      Volume: 124 Issue: 18 Pages: 180604-180604

    • DOI

      10.1103/physrevlett.124.180604

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transforming generalized Ising models into Boltzmann machines2019

    • Author(s)
      Yoshioka Nobuyuki、Akagi Yutaka、Katsura Hosho
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 3 Pages: 032113-032124

    • DOI

      10.1103/physreve.99.032113

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spontaneous Thermal Hall Effect in Three-dimensional Chiral Superconductors with Gap Nodes2018

    • Author(s)
      Yoshioka Nobuyuki、Imai Yoshiki、Sigrist Manfred
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 12 Pages: 124602-124622

    • DOI

      10.7566/jpsj.87.124602

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Learning disordered topological phases by statistical recovery of symmetry2018

    • Author(s)
      Yoshioka Nobuyuki, Akagi Yutaka, Katsura Hosho
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 97 Issue: 20 Pages: 205110-205118

    • DOI

      10.1103/physrevb.97.205110

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Learning Disordered Topological Phases by Statistical Recovery of Symmetry2018

    • Author(s)
      Nobuyuki Yoshioka, Yutaka Akagi, and Hosho Katsura
    • Journal Title

      Physical Review B

      Volume: 未定

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Presentation] ニューラルネットワークによる物理状態の分類および表現に関する理論的研究2020

    • Author(s)
      吉岡信行
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] "Neural Networks in Open Quantum System” (workshop cancelled)2020

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      Mini-Workshop on Quantum Optimization
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Approximate and exact representation of physical states by neural networks2019

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      5th Conference on Condensed Matter Physics, Liyang, China
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Transforming Generalized Ising Model into Boltzmann Machine2019

    • Author(s)
      N. Yoshioka, Y. Akagi, and H. Katsura
    • Organizer
      At the Crossroad of Physics and Machine Learning
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Detection of Phase Transitions in Quantum Spin Chains via Unsupervised Machine Learning2019

    • Author(s)
      Y. Akagi, N. Yoshioka, and H. Katsura
    • Organizer
      APS March Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 教師なし学習による量子スピン鎖の相転移検出2019

    • Author(s)
      赤城裕、吉岡信行、桂法称
    • Organizer
      日本物理学会第74回年次大会(2019年)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Cluster updating classical spin systems by equivalent Boltzmann machines2018

    • Author(s)
      N. Yoshioka, Y. Akagi, and H. Katsura
    • Organizer
      Machine Learning for Quantum Many-body Physics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Learning Disordered Topological Phases by Statistical Recovery of Symmtery2018

    • Author(s)
      N. Yoshioka, Y. Akagi, and H. Katsura
    • Organizer
      Machine Learning for Quantum Many-body Physics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 古典スピン系と等価なボルツマン機械への変換と大域的更新法2018

    • Author(s)
      吉岡信行、赤城裕、桂法称
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Learning Disordered Topological Phases by Statistical Recovery of Symmetry2018

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      FOR1807 Winter School
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Machine Learning Disordered Topological Phases by Statistical Recovery of Symmetry2018

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      APS March Meeting 2018
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Anomalous Thermal Hall Effect in Nodal Chiral Superconductors2017

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      TopoMat 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 乱れたトポロジカル超伝導体の非可換指数と量子相図2017

    • Author(s)
      吉岡信行
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 機械学習による乱れたトポロジカル超伝導体の相判定2017

    • Author(s)
      吉岡信行
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Learning Disordered Topological Phases by Statistical Recovery of Symmetry2017

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      Novel Quantum States in Condensed Matter 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Machine learning phases of disordered topological superconductors2017

    • Author(s)
      Nobuyuki Yoshioka
    • Organizer
      Machine Learning and Many-Body Physics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research

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Published: 2017-05-25   Modified: 2024-03-26  

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