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Fujiwara Akio
藤原　彰夫
Fujiwara Akio
藤原　彰夫
Graduate School of Science　Department of Mathematics, Professor

keyword Information Geometry，Noncommutative Statistics，Quantum Information，Mathematical Engineering

Research History 8

  1. 2005/10 - Present
    Osaka University　Graduate School of Science Department of Mathematics　Professor

  2. 2012/09 - 2013/01
    University of Cambridge　Visiting Academic

  3. 2006/08 - 2007/03
    University College London　Visiting Academic

  4. 2000/10 - 2005/09
    Osaka University　Graduate School of Science Department of Mathematics　Associate Professor

  5. 1994/10 - 2000/09
    Osaka University　Graduate School of Science Department of Mathematics　Assistant Professor

  6. 1997/10 - 1999/03
    Stanford University　Visiting Scholar

  7. 1997/02 - 1997/03
    Stanford University　Visiting Scholar

  8. 1993/04 - 1994/09
    The University of Tokyo　The Graduate School of Engineering　Research Associate

Education 2

  1. The University of Tokyo　The Graduate School of Engineering　Department of Mathematical Engineering and Information Physics

    1991/04 - 1993/03

  2. The University of Tokyo　The Faculty of Engineering　Department of Applied Physics

    1980/04 - 1984/03

Professional Memberships 2

  1. 日本物理学会

  2. 日本数学会

Research Areas 3

  1. Natural sciences / Mathematical physics and basic theory /

  2. Natural sciences / Applied mathematics and statistics /

  3. Natural sciences / Basic mathematics /

Papers 40

  1. Adaptive quantum state estimation for two optical point sources

    Masataka Kimizu, Fuyuhiko Tanaka, Akio Fujiwara

    Physical Review A　Vol. 109　No. 3　2024/03/26　Research paper (scientific journal)

    Publisher: American Physical Society (APS)

  2. Efficiency of estimators for locally asymptotically normal quantum statistical models

    Akio Fujiwara, Koichi Yamagata

    The Annals of Statistics　Vol. 51　No. 3　p. 1159-1182　2023/06/01　Research paper (scientific journal)

    Publisher: Institute of Mathematical Statistics

  3. Hommage to Chentsov’s theorem

    Akio Fujiwara

    Information Geometry　2022/11/21　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  4. Noise-induced degeneration in online learning

    Yuzuru Sato, Daiji Tsutsui, Akio Fujiwara

    Physica D: Nonlinear Phenomena　Vol. 430　p. 133095-133095　2022/02　Research paper (scientific journal)

    Publisher: Elsevier BV

  5. Dually flat structures induced from monotone metrics on a two-level quantum state space

    Akio Fujiwara

    The European Physical Journal Plus　Vol. 135　No. 10　2020/10/27　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  6. Adaptive quantum state estimation for dynamic quantum states

    Saki Nohara, Ryo Okamoto, Akio Fujiwara, Shigeki Takeuchi

    Physical Review A　Vol. 102　No. 3　2020/09/09　Research paper (scientific journal)

    Publisher: American Physical Society (APS)

  7. Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics

    Akio Fujiwara, Koichi Yamagata

    Bernoulli　Vol. 26　No. 3　p. 2105-2142　2020/08　Research paper (scientific journal)

    Publisher: Bernoulli Society for Mathematical Statistics and Probability

  8. Realization of high-speed adaptive quantum state estimation

    Saki Nohara, Ryo Okamoto, Koichi Yamagata, Akio Fujiwara, Shigeki Takeuchi

    Japanese Journal of Applied Physics　Vol. 58　No. 7　p. 072001-072001　2019/07/01　Research paper (scientific journal)

    Publisher: IOP Publishing

  9. Information Geometry of Randomized Quantum State Tomography

    Akio Fujiwara, Koichi Yamagata

    Entropy　Vol. 20　No. 8　p. 609-609　2018/08/16　Research paper (scientific journal)

    Publisher: MDPI AG

  10. Complementing Chentsov’s Characterization

    Akio Fujiwara

    Information Geometry and Its Applications　p. 335-347　2018　Part of collection (book)

    Publisher: Springer International Publishing

  11. Experimental demonstration of adaptive quantum state estimation for single photonic qubits

    Ryo Okamoto, Satoshi Oyama, Koichi Yamagata, Akio Fujiwara, Shigeki Takeuchi

    Physical Review A　Vol. 96　No. 2　2017/08/18　Research paper (scientific journal)

    Publisher: American Physical Society

  12. Information geometry of sandwiched Rényi α-divergence

    Kaito Takahashi, Akio Fujiwara

    Journal of Physics A: Mathematical and Theoretical　Vol. 50　No. 16　p. 165301-165301　2017/03/16　Research paper (scientific journal)

    Publisher: Institute of Physics Publishing

  13. Adaptive quantum state estimation for dynamic quantum states

    Saki Nohara, Ryo Okamoto, Akio Fujiwara, Shigeki Takeuchi

    Optics InfoBase Conference Papers　Vol. 2017　2017　Research paper (international conference proceedings)

    Publisher: OSA - The Optical Society

  14. Experimental demonstration of adaptive quantum state estimation

    Ryo Okamoto, Minako Iefuji, Satoshi Oyama, Koichi Yamagata, Hiroshi Imai, Akio Fujiwara, Shigeki Takeuchi

    Optics InfoBase Conference Papers　2013　Research paper (international conference proceedings)

  15. Adaptive Quantum State Estimation of Mixed States Using Photons

    Satoshi Oyama, Minako Iefuji, Ryo Okamoto, Koichi Yamagata, Akio Fujiwara, Shigeki Takeuchi

    2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS PACIFIC RIM (CLEO-PR)　2013　Research paper (international conference proceedings)

  16. Quantum local asymptotic normality based on a new quantum likelihood ratio

    Koichi Yamagata, Akio Fujiwara, Richard D. Gill

    Annals of Statistics　Vol. 41　No. 4　p. 2197-2217　2013　Research paper (scientific journal)

    Publisher: Institute of Mathematical Statistics

  17. Experimental demonstration of adaptive quantum state estimation

    Ryo Okamoto, Minako Iefuji, Satoshi Oyama, Koichi Yamagata, Hiroshi Imai, Akio Fujiwara, Shigeki Takeuchi

    Physical Review Letters　Vol. 109　No. 13　2012/09/28　Research paper (scientific journal)

    Publisher: American Physical Society (APS)

  18. Strong consistency and asymptotic efficiency for adaptive quantum estimation problems

    Akio Fujiwara

    Journal of Physics A: Mathematical and Theoretical　Vol. 44　No. 7　p. 079501-079501　2011/02/18　Research paper (scientific journal)

    Publisher: IOP Publishing

  19. Hereditary structure in Hamiltonians: Information geometry of Ising spin chains

    Akio Fujiwara, Shigeru Shuto

    Physics Letters, Section A: General, Atomic and Solid State Physics　Vol. 374　No. 7　p. 911-916　2010/02/01　Research paper (scientific journal)

    Publisher: Elsevier BV

  20. A fibre bundle over manifolds of quantum channels and its application to quantum statistics

    Akio Fujiwara, Hiroshi Imai

    Journal of Physics A: Mathematical and Theoretical　Vol. 41　No. 25　p. 255304-255304　2008/06/27　Research paper (scientific journal)

    Publisher: IOP Publishing

  21. Randomness criteria in terms of α-divergences

    Akio Fujiwara

    IEEE Transactions on Information Theory　Vol. 54　No. 3　p. 1252-1261　2008/03　Research paper (scientific journal)

    Publisher: Institute of Electrical and Electronics Engineers (IEEE)

  22. Geometry of optimal estimation scheme for SU(D) channels

    Hiroshi Imai, Akio Fujiwara

    Journal of Physics A: Mathematical and Theoretical　Vol. 40　No. 16　p. 4391-4400　2007/04/20　Research paper (scientific journal)

    Publisher: IOP Publishing

  23. Strong consistency and asymptotic efficiency for adaptive quantum estimation problems

    Akio Fujiwara

    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL　Vol. 39　No. 40　p. 12489-12504　2006/10　Research paper (scientific journal)

  24. Geometry of quantum estimation theory

    Akio Fujiwara

    Asymptotic Theory of Quantum Statistical Inference: Selected Papers　p. 229-286　2005/01/01　Part of collection (book)

    Publisher: World Scientific Publishing Co.

  25. Quantum birthday problems: Geometrical aspects of quantum random coding

    Akio Fujiwara

    Asymptotic Theory of Quantum Statistical Inference: Selected Papers　p. 75-88　2005/01/01　Part of collection (book)

    Publisher: World Scientific Publishing Co.

  26. Quantum fisher metric and estimation for pure state models

    Akio Fujiwara, Hiroshi Nagaoka

    Asymptotic Theory of Quantum Statistical Inference: Selected Papers　p. 220-228　2005/01/01　Part of collection (book)

    Publisher: World Scientific Publishing Co.

  27. An estimation theoretical characterization of coherent states

    Akio Fujiwara, Hiroshi Nagaoka

    Asymptotic Theory of Quantum Statistical Inference: Selected Papers　p. 287-304　2005/01/01　Part of collection (book)

    Publisher: World Scientific Publishing Co.

  28. Quantum channel identification problem

    Akio Fujiwara

    Asymptotic Theory of Quantum Statistical Inference: Selected Papers　p. 487-493　2005/01/01　Part of collection (book)

    Publisher: World Scientific Publishing Co.

  29. Estimation of a generalized amplitude-damping channel

    Akio Fujiwara

    Physical Review A - Atomic, Molecular, and Optical Physics　Vol. 70　No. 1　p. 1-12317　2004　Research paper (scientific journal)

    Publisher: American Physical Society

  30. Quantum parameter estimation of a generalized Pauli channel

    Akio Fujiwara, Hiroshi Imai

    Journal of Physics A: Mathematical and General　Vol. 36　No. 29　p. 8093-8103　2003/07/25　Research paper (scientific journal)

    Publisher: IOP Publishing

  31. Additivity of the capacity of depolarizing channels

    Akio Fujiwara, Takashi Hashizumé

    Physics Letters, Section A: General, Atomic and Solid State Physics　Vol. 299　No. 5-6　p. 469-475　2002/07/15　Research paper (scientific journal)

    Publisher: Elsevier BV

  32. Estimation of SU(2) operation and dense coding: An information geometric approach

    Akio Fujiwara

    Physical Review A - Atomic, Molecular, and Optical Physics　Vol. 65　No. 1　2002　Research paper (scientific journal)

    Publisher: American Physical Society (APS)

  33. Quantum birthday problems: Geometrical aspects of quantum random coding

    A. Fujiwara

    IEEE Transactions on Information Theory　Vol. 47　No. 6　p. 2644-2649　2001/09　Research paper (scientific journal)

    Publisher: Institute of Electrical and Electronics Engineers (IEEE)

  34. Quantum channel identification problem

    Akio Fujiwara

    Physical Review A - Atomic, Molecular, and Optical Physics　Vol. 63　No. 4　p. 1-4　2001　Research paper (scientific journal)

    Publisher: American Physical Society

  35. An estimation theoretical characterization of coherent states

    Akio Fujiwara, Hiroshi Nagaoka

    Journal of Mathematical Physics　Vol. 40　No. 9　p. 4227-4239　1999/09　Research paper (scientific journal)

    Publisher: AIP Publishing

  36. One-to-one parametrization of quantum channels

    Akio Fujiwara, Paul Algoet

    Physical Review A　Vol. 59　No. 5　p. 3290-3294　1999/05/01　Research paper (scientific journal)

    Publisher: American Physical Society (APS)

  37. Operational capacity and pseudoclassicality of a quantum channel

    A. Fujiwara, H. Nagaoka

    IEEE Transactions on Information Theory　Vol. 44　No. 3　p. 1071-1086　1998/05　Research paper (scientific journal)

    Publisher: Institute of Electrical and Electronics Engineers (IEEE)

  38. Geometry of quantum information systems

    FUJIWARA A.

    Geometry in Present Day Science　p. 35-48　1998

    Publisher:

  39. Quantum Fisher metric and estimation for pure state models

    Akio Fujiwara, Hiroshi Nagaoka

    Physics Letters A　Vol. 201　No. 2-3　p. 119-124　1995/05　Research paper (scientific journal)

    Publisher: Elsevier BV

  40. Gradient systems in view of information geometry

    Akio Fujiwara, Shun-ichi Amari

    Physica D: Nonlinear Phenomena　Vol. 80　No. 3　p. 317-327　1995/01　Research paper (scientific journal)

    Publisher: Elsevier BV

Misc. 17

  1. 30aCC-8 Adaptive Quantum State Estimation for Single Quantum Bit

    Oyama Satoshi, Okamoto Ryo, Ono Takafumi, Takeuchi Shigeki, Yamagata Koichi, Fujiwara Akio

    Meeting abstracts of the Physical Society of Japan　Vol. 69　No. 1　p. 215-215　2014/03/05

    Publisher: The Physical Society of Japan (JPS)

  2. 19aAK-9 Adaptive Measurement for Quantum Phase Estimation II

    Oyama Satoshi, Iefuji Minako, Okamoto Ryo, Yamagata Koichi, Fujiwara Akio, Takeuchi Shigeki

    Meeting abstracts of the Physical Society of Japan　Vol. 67　No. 2　p. 141-141　2012/08/24

    Publisher: The Physical Society of Japan (JPS)

  3. 22pEB-4 Adaptive Measurement for Quantum Phase Estimation

    Iefuji Minako, Okamoto Ryo, Yamagata Koichi, Imai Hiroshi, Fujiwara Akio, Takeuchi Shigeki

    Meeting abstracts of the Physical Society of Japan　Vol. 66　No. 2　p. 151-151　2011/08/24

    Publisher: The Physical Society of Japan (JPS)

  4. Quantum Channel Coding Problems : Variations on a Theme by Holevo

    FUJIWARA Akio

    The Journal of the Institute of Electronics,Information and Communication Engineers　Vol. 85　No. 8　p. 586-590　2002/08/01

    Publisher: The Institute of Electronics, Information and Communication Engineers

  5. Statistical estimation of a quantum channel

    Akio Fujiwara

    Foundations of Quantum Mechanics in the Light of New Technology, edited by Y.A. Ono and K. Fujikawa　2002/05

  6. Statistical Estimation of Pure States

    Fujiwara Akio

    RIMS Kokyuroku　Vol. 980　p. 101-111　1997/02

    Publisher: Kyoto University

  7. Coherency in view of quantum estimation theory

    FUJIWARA A.

    Quantum coherence and decoherence　1996/05

    Publisher: Elsevier

  8. Operational Capacity and Semi-Classicality of a Quantun Chanmel(共著)

    Akio Fujiwara

    Research Reports in Mathematics　No. 96-9　1996

  9. Capacity of a memoryless quantum communication channel

    Akio Fujiwara

    Mathematical Engineering Technical Report, University of Tokyo　Vol. 22　1994

  10. Information gemetry of quantum states based on the symmetric logarithmic derivative

    Akio Fujiwara

    Mathematical Engineering Technical Report, University of Tokyo　Vol. 11　1994

  11. Linear random measurement of two non-commuting observables

    Akio Fujiwara

    Mathematical Engineering Technical Report ; University of Tokyo　Vol. 10　1994

  12. Multi-parameter pure state estimation based on the right logarithnic derivative

    Akio Fujiwara

    Mathenatical Engimeering Technical Report, University of Tokyo　Vol. 9　1994

  13. One-parameter pure state estimation based on the symmetric logarithmic derivative

    Akio Fujiwara

    Mathematical Engineering Technical Report, University of Tokyo　Vol. 8　1994

  14. Dynamical Systems on Statistical Models(State of art and perspectives of studies on nonlinear integrable systems)

    Fujiwara Akio

    RIMS Kokyuroku　Vol. 822　p. 32-42　1993/03

    Publisher: Kyoto University

  15. Dualistic dynanical systems in the framework of information geometry (共著)

    Akio Fujiwara

    Mathematical Engineering Technical Report, University of Tokyo　Vol. 17　1993

  16. CALCULATION OF THICKNESS DISTRIBUTION FOR ION-BEAM SPUTTER DEPOSITION

    A FUJIWARA

    JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS　Vol. 9　No. 1　p. 141-144　1991/01

  17. NEW METHOD FOR CALCULATING THE MOLECULAR FLUX FROM AN INCLINED KNUDSEN CELL

    A FUJIWARA

    JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS　Vol. 8　No. 4　p. 3327-3332　1990/07

Publications 3

  1. 幾何学入門事典

    砂田, 利一, 加藤, 文元

    朝倉書店　2023/06

    ISBN: 9784254111583

  2. 情報幾何学の基礎 : 情報の内的構造を捉える新たな地平

    藤原, 彰夫

    共立出版　2021/05

    ISBN: 9784320114517

  3. 情報幾何学の基礎

    藤原, 彰夫

    牧野書店,星雲社 (発売)　2015/08

    ISBN: 9784434208812