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行列関数計算の「数理基盤の構築」と「科学技術分野への応用」を目指して
　-Matrix Function Computation and its Applications-

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研究成果

    [学術論文]
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  11. T. Wang and T. S. Usuda, Detection scheme using a beam splitter and on-off detectors for non-Gaussian state-based quantum illumination with attenuation, Optics Continuum, 3(2023), 543--551.
  12. S. Takahira, A. Ohashi, T. Sogabe, and T. S. Usuda, On the performance for the block-encoding of the matrix functions evaluated by the numerical quadrature method, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 177--180, (2023).
  13. T. Wang and T. S. Usuda, Quantum Chernoff bound for quantum reading using the quasi-Bell state, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 297--300, (2023).
  14. S. Sameshima, T. Wang, S. Takahira, S. Usami, and T. S. Usuda, On the optimal quantum state of BPSK-type asymmetric quantum communication in an attenuation environment, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 44--47, (2023).
  15. K. Masaki, T. Wang, S. Takahira, S. Usami, and T. S. Usuda, Comparison of several quantum receivers for coherent-state signals by using classical reliability function, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 114--117, (2023).
  16. S. Kitamura, T. Wang, S. Takahira, and T. S. Usuda, Calculation of capacity with discrete-valued inputs using efficiently obtained eigenvalues, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 267--270, (2023).
  17. Y. Wakahara, S. Takahira, S. Usami, and T. S. Usuda, Comparison of capacity and coding rates in CPPM-type quantum cipher with outer codes, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 279--281, (2023).
  18. Y. Horiba, T. Wang, and T. S. Usuda, Effect of scattering on quantum ghost imaging and ordinary imaging, In Proc. of 23rd Asian Quantum Information Science Conference (AQIS2023), 261--264, (2023).
  19. 鮫島卓, 王天澄, 宇佐見庄五, 臼田毅, 位相変調を用いた非対称型量子通信とその減衰環境下における誤り率特性, 電子情報通信学会論文誌B, J106-B(2023), 112--125.
  20. S. Sato, Y. Miyatake, J.C. Butcher, High-order linearly implicit schemes conserving quadratic invariants, Applied Numerical Mathematics, 187(2023), 71--88,
  21. T. Wang, R. Miyazaki, S. Takahira, T.S. Usuda, Simplification of the gram matrix eigenvalue problem for quantum signals formed by rotating signal points in a circular sector region, IEEJ Transactions on Electronics, Information and Systems, 142(2022), 1253--1261.
  22. S. Takahira, A. Ohashi, T. Sogabe, T.S. Usuda, Quantum algorithms based on the block-encoding framework for matrix functions by contour integrals, Quantum Information and Computation, 22(2022), 695--979.
  23. Y. Takahashi, T. Wang, S. Usami, T.S. Usuda, Effect of multiple positions illumination in quantum ghost imaging, IEEJ Transactions on Electronics, Information and Systems, 142(2022), 933--941.
  24. T. Wang, T.S. Usuda, Error performance of amplitude shift keying-type asymmetric quantum communication systems, 24(2022), 708.
  25. R. Miyazaki, T. Wang, T.S. Usuda, Simplification of the gram matrix eigenvalue problem for quadrature amplitude modulation signals, Entropy, 24(2022), 544.
  26. T. Hanada, Y. Motoyama, K. Yoshimi, T. Hoshi, sim-trhepd-rheed—Open-source simulator of total-reflection high-energy positron diffraction (TRHEPD) and reflection high-energy electron diffraction (RHEED), Computer Physics Communications, 277(2022), 108371.
  27. Y. Motoyama, K. Yoshimi, I. Mochizuki, H. Iwamoto, H. Ichinose, T. Hoshi, Data-analysis software framework 2DMAT and its application to experimental measurements for two-dimensional material structures, Computer Physics Communications, 280(2022), 108465.
  28. C. Nonaka, K. Horie, Inhomogeneous phases in the chiral Gross-Neveu model on the lattice, Proceedings of Science, 396(2022), 1--7.
  29. K. Akita, Y. Miyatake, D. Furihata, Composing a surrogate observation operator for sequential data assimilation, JSIAM Letters, 14(2022), 123--126.
  30. Y. Yamamoto, S. Kudo, T. Hoshi, Error analysis of the truncated Taylor series expansion method for computing matrix exponential, JSIAM Letters, 14(2022), 147--150.（プロジェクト参画前）
  31. K. Ozaki, T. Ogita, Generation of test matrices with specified eigenvalues using floating-point arithmetic, Numerical Algorithms, 90(2022), 241--262.
  32. W. Tiancheng, S. Takahira, T.S. Usuda, Error Probabilities of Quantum Illumination with Attenuation Using Maximum and Non-maximum Quasi-Bell States, IEEJ Transactions on Electronics, Information and Systems, 142(2022), 151--161.
  33. 宮崎龍輔, 吉田真菜, 王天澄, 高比良宗一, 臼田毅, 非対称量子信号に対する通信路行列計算の簡単化, J105-B(2022), 74--87.
  34. 五十川 翔梧,中川 綾太,王 天澄,高比良 宗一,臼田 毅, 純粋状態信号に対するBelavkin Weighted Square-root Measurementの幾何学的表現, 電子情報通信学会論文誌B, J105-B(2022), 62--73.
  35. 王 天澄, 小山真司, 中平健治, 臼田毅, 位相雑音環境下における量子受信機の誤り率特性とそのロバスト設計の規準, 電子情報通信学会論文誌B, J105-B(2022), 39--51.
  36. T. Hoshi, D. Sakata, S. Oie, I. Mochizuki, S. Tanaka, T. Hyodo, K. Hukushima, Data-driven sensitivity analysis in surface structure determination using total-reflection high-energy positron diffraction (TRHEPD), Computer Physics Communications, 271(2022), 108186.
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  38. K. Ozaki, T. Terao, T. Ogita、T. Katagiri, Verified numerical computations for large-scale linear systems, Applications of Mathematics, 66(2021), 269-285.
  39. S. Ito, T. Matsuda, Y. Miyatake, Adjoint-based exact Hessian computation, BIT Numerical Mathematics, 61(2021), 503--522.
  40. T. Matsuda, Y. Miyatake, Estimation of ordinary differential equation models with discretization error quantification, SIAM/ASA Journal on Uncertainty Quantification, 9(2021), 302--331.
  41. T. Matsuda, Y. Miyatake, Generalization of partitioned Runge—Kutta methods for adjoint systems, Journal of Computational and Applied Mathematics, 388(2021), 113308.
  42. 中屋 貴博、田中 健一郎, 二重指数関数型数値積分公式による行列符号関数の数値計算, 日本応用数理学会論文誌, 31(2021), 105-132 【日本応用数理学会論文賞(理論部門) 】
  43. F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang, Computing the matrix fractional power with the double exponential formula, Electronic Transactions on Numerical Analysis, 54(2021), 558--580.
  44. T. Hoshi, M. Kawamura, K. Yoshimi, Y. Motoyama、Y. Misawa, Y. Yamaji, S. Todo, N. Kawashima, T. Sogabe, Kω—Open-source library for the shifted Krylov subspace method of the form (zI-H)x=b,Computer Physics Communications, 258(2021), 107536.
  45. T. Terao, K. Ozaki, T. Ogita, LU-Cholesky QR algorithms for thin QR decomposition, Parallel Computing, 92(2020), 102571.
  46. T. Ogita, K. Aishima, Iterative refinement for singular value decomposition based on matrix multiplication, Journal of Computational and Applied Mathematics, 369(2020),112512.
  47. K. Ishikawa, T. Wang , T.S. Usuda, Comparison of performances on quantum reading in non-symmetric loss using maximum and non-maximum quasi-Bell states, IEEJ Transactions on Electronics, Information and Systems, 140(2020), 1328--1335.
  48. F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang, Algorithms for the computation of the matrix logarithm based on the double exponential formula, Journal of Computational and Applied Mathematics, 373(2020), 112396.
  49. 立岡文理, 曽我部知広, 宮武勇登, 張紹良, 二重指数関数型数値積分公式を用いた行列実数乗の計算, 日本応用数理学会論文誌, 28(2018), 142--161.

    [解説]
  1. 立岡文理, 曽我部知広, 張紹良, 数値積分に基づく行列実数乗の計算について, 計算数理工学レビュー, 2019-2(2019), 45-55.

    [著書]
  1. 田中健一郎，岡山友昭，変数変換型数値計算法 (岩波数学叢書)，岩波書店，2023.
  2. T. Sogabe, Krylov Subspace Methods for Linear Systems —Principles of Algorithms, Spiringer Series in Computational Mathematics, Springer, 2023.




プロジェクト支援

・科学研究費補助金 基盤研究A （2020-2024年度）　「物理学・情報科学に共通する大規模行列関数の総合的数値計算法の創成」