Basic Information

Email Address

• Email Address

  hayakawa.ryu.5hkyoto-u.ac.jp

Professional Memberships

• From Nov. 2022, To Present

  日本物理学会

Academic Degree

• 23 Mar. 2021

  京都大学修士（理学）
• 25 Mar. 2024

  京都大学博士（理学）

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部物理学科, 卒業

Research History

• From Apr. 2024, To Present

  Kyoto University, 白眉センター

ID,URL

• ORCID ID

  0000-0002-5403-1342

• J-Global ID

  202301005333182360

• External link

  https://ryuhayakawa.github.io/

researchmap URL

• https://researchmap.jp/ryuhayakawa

Research

Research Interests

• Quantum computational topology
• Topological data analysis
• Hamiltonian complexity
• Quantum algorithm
• Quantum computing

Research Areas

• Informatics, Computational science, 量子計算
• Natural sciences, Mathematical physics and basic theory, 量子情報，量子計算

Papers

• Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups

  Ryu Hayakawa; Kuo-Chin Chen; Min-Hsiu Hsieh

  Quantum, Jun. 2026, Peer-reviewed, Lead author

  
• Provable quantum speedups for computing persistence in topological data analysis

  Casper Gyurik; Alexander Schmidhuber; Robbie King; Vedran Dunjko; Ryu Hayakawa

  PRX Quantum, Jun. 2026, Peer-reviewed

  
• Improved Hardness Results for the Guided Local Hamiltonian Problem

  Chris Cade; Marten Folkertsma; Sevag Gharibian; Ryu Hayakawa; François Le Gall; Tomoyuki Morimae; Jordi Weggemans

  Leibniz International Proceedings in Informatics (LIPIcs), Jul. 2023, Peer-reviewed

  
• Quantum algorithm for persistent Betti numbers and topological data analysis

  Ryu Hayakawa

  Quantum, 07 Dec. 2022, Peer-reviewed, Lead author

  

Misc.

• Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians

  Dominic Lowe; M. S. Kim; Roberto Bondesan; Ryu Hayakawa

  Jul. 2026, Corresponding author

  
• Computational complexity of the homology problem with orientable filtration: MA-completeness

  Ryu Hayakawa; Casper Gyurik; Mahtab Yaghubi Rad; Vedran Dunjko

  08 Oct. 2025

  
• Computational complexity of Berry phase estimation in topological phases of matter

  Ryu Hayakawa; Kazuki Sakamoto; Chusei Kiumi

  16 Sep. 2025

  
• Fine-grained quantum supremacy based on Orthogonal Vectors, 3-SUM and All-Pairs Shortest Paths

  Ryu Hayakawa; Tomoyuki Morimae; Suguru Tamaki

  22 Feb. 2019

  

Presentations

• Quantum Topological Data Analysis: Complexity, Algorithms, and the Quest for Quantum Advantage in Physics

  Ryu Hayakawa

  Data Analysis and Machine Learning for Physics Workshop, 08 May 2026, Invited

  
• Ryu Hayakawa, Kazuki Sakamoto, Chusei Kiumi

  Quantum Computing Theory in Practice (QCTiP), 21 Apr. 2026

  
• Computational complexity of the persistence of homology problem with orientable filtration: MA-completeness

  Ryu Hayakawa, Casper Gyurik, Mahtab Yaghubi Rad, Vedran Dunjko

  29th Annual Quantum Information Processing Conference (QIP 2026), 26 Jan. 2026

  
• Computational complexity of Berry phase estimation in topological phases of matter

  Ryu Hayakawa, Kazuki Sakamoto, Chusei Kiumi

  29th Annual Quantum Information Processing Conference (QIP 2026), 26 Jan. 2026

  
• Quantum computing and persistence in TDA

  Casper Gyurik, Alexander Schmidhuber, Robbie King, Vedran Dunjko, Ryu Hayakawa

  Quantum Techniques in Machine Learning (QTML) 2025, 27 Nov. 2025

  
• Computational complexity of the homology problem with orientable filtration: MA-completeness

  Ryu Hayakawa

  TDA Conference 2025, 23 Nov. 2025, Invited

  
• ハミルトニアン計算複雑性

  早川龍

  Summer School 数理物理 2025, 29 Aug. 2025, Invited

  
• Quantum computing and persistence in topological data analysis

  Casper Gyurik, Alexander Schmidhuber, Robbie King, Vedran Dunjko, Ryu Hayakawa

  25th Asian Quantum Information Science Conference (AQIS 2025), 05 Aug. 2025

  
• Quantum computing and persistence in topological data analysis

  Ryu Hayakawa

  Applied Topology in Poznań 2025, 14 Jul. 2025

  
• トポロジカルデータ解析における量子優位性

  早川龍, Casper Gyurik, Alexander Schmidhuber, Robbie King, Vedran Dunjko

  量子情報技術研究会（QIT）2025-05-QIT, 29 May 2025, 電子情報通信学会

  
• Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups

  Ryu Hayakawa, Kuo-Chin Chen, Min-Hsiu Hsieh

  量子情報技術研究会（QIT）2024-05-QIT, 28 May 2024, 電子情報通信学会

  
• 量子アルゴリズムと量子計算複雑性理論入門

  早川龍

  第69回物性若手夏の学校, 02 Aug. 2024, Invited

  

Awards

• 10 Jun. 2020

  量子情報技術研究会 学生発表賞
• 10 Oct. 2020

  日本物理学会学生優秀発表賞 領域１