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RIKEN Hakubi Research Teams Mathematical Quantum Information RIKEN Hakubi Research Team

RIKEN Hakubi Team Leader: Bartosz Regula (Ph.D.)

Research Summary

Bartosz Regula

Our group studies the mathematical underpinnings of quantum information theory, with a particular focus on the investigation of the mathematical structure of quantum resources — physical phenomena that underlie practical advantages of quantum technologies in areas such as communication and computation. We aim to develop technical frameworks that help address the fundamental questions of how to quantify, manipulate, and take advantage of physical resources in quantum information and communication tasks. Our approach is to establish a solid and rigorous mathematical foundation which can be directly used to study a variety of physical settings, allowing for broad applications and generalisations.

Main Research Fields

  • Mathematical & Physical Sciences

Related Research Fields

  • Informatics
  • Mathematical physics and fundamental theory of condensed matter physics-related
  • Applied mathematics and statistics-related
  • Theory of informatics-related


  • Quantum information
  • quantum resource theories
  • quantum Shannon theory
  • mathematical physics

Selected Publications

Papers with an asterisk(*) are based on research conducted outside of RIKEN.

  • 1. *L. Lami and B. Regula
    "No second law of entanglement manipulation after all"
    Nat. Phys. 19, 184–189 (2023)
  • 2. *B. Regula
    "Probabilistic transformations of quantum resources"
    Phys. Rev. Lett. 128, 110505 (2022)
  • 3. *B. Regula and R. Takagi
    "One-shot manipulation of dynamical quantum resources"
    Phys. Rev. Lett. 127, 060402 (2021)
  • 4. *B. Regula and R. Takagi
    "Fundamental limitations on distillation of quantum channel resources"
    Nat. Commun. 12, 4411 (2021)
  • 5. *J. R. Seddon, B. Regula, H. Pashayan, Y. Ouyang, and E. T. Campbell
    "Quantifying quantum speedups: improved classical simulation from tighter magic monotones"
    PRX Quantum 2, 010345 (2021)
  • 6. *B. Regula, L. Lami, G. Ferrari, and R. Takagi
    "Operational quantification of continuous-variable quantum resources"
    Phys. Rev. Lett. 126, 110403 (2021)
  • 7. *R. Takagi and B. Regula
    "General resource theories in quantum mechanics and beyond: operational characterization via discrimination tasks"
    Phys. Rev. X 9, 031053 (2019)
  • 8. *B. Regula, K. Fang, X. Wang, and G. Adesso
    "One-shot coherence distillation"
    Phys. Rev. Lett. 121, 010401 (2018)
  • 9. *B. Regula
    "Convex geometry of quantum resource quantification"
    J. Phys. A: Math. Theor. 51, 045303 (2018)

Recent Research Results

Related Links

Lab Members

Principal investigator

Bartosz Regula
RIKEN Hakubi Team Leader

Contact Information

RIKEN Main Research Building 623
2-1 Hirosawa, Wako, Saitama 351-0198, Japan
Email: bartosz.regula [at] riken.jp