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量子計算を併用した数値線形代数学の開拓

Research Project

Project/Area Number 20K20397
Project/Area Number (Other) 18H05392 (2018-2019)
Research Category

Grant-in-Aid for Challenging Research (Pioneering)

Allocation TypeMulti-year Fund (2020)
Single-year Grants (2018-2019)
Review Section Medium-sized Section 60:Information science, computer engineering, and related fields
Research InstitutionNagoya University

Principal Investigator

曽我部 知広  名古屋大学, 工学研究科, 准教授 (30420368)

Co-Investigator(Kenkyū-buntansha) 臼田 毅  愛知県立大学, 情報科学部, 教授 (80273308)
Project Period (FY) 2020-04-01 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥25,090,000 (Direct Cost: ¥19,300,000、Indirect Cost: ¥5,790,000)
Fiscal Year 2023: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2022: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2021: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2020: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥14,690,000 (Direct Cost: ¥11,300,000、Indirect Cost: ¥3,390,000)
Keywords数値線形代数 / 量子計算
Outline of Research at the Start

数値線形代数学の主要課題である線形方程式・固有値問題・特異値問題・最小自乗問題は,計算科学・データ科学の計算効率の根幹を担う.本研究では,現在の計算機で動作する数値線形代数学上の計算アルゴリズムと量子計算機で動作する量子アルゴリズムを開発して組み合わせることで,従前にない計算アルゴリズム,つまり数値線形代数学上のアルゴリズミック・パラダイムの創成に挑戦する.研究指針は,「量子アルゴリズムを併用した線形方程式の計算アルゴリズムの創成」,および「固有値問題・特異値問題・最小自乗問題用への展開」である.

Outline of Annual Research Achievements

本課題は、数値線形代数(線形方程式、固有値問題、特異値問題)の古典アルゴリズムの研究と量子アルゴリズムの研究を行い、それらを融合・協調させるものである。今年度もゲート型とアニーリング型の両面から量子計算の研究を行なった。具体的成果を以下に述べる。 まず、ゲート型に関しては、連立一次方程式の求解方法として量子コンピュータと古典コンピュータを併用する変分量子アルゴリズムの研究を行った。これはまさに量子計算を併用した数値線形代数学と言える。この手法は連立一次方程式の解を、ある最適化問題の最適解として定式化し、最適化問題の目的関数の評価を量子コンピュータで行い、近似解の修正を古典コンピュータで行う方法である。先行研究として行列が正定値対称の問題に対する変分量子アルゴリズムが提案されていたが、本研究では対称性の制約がなくても適用できる枠組みを構築した。次にアニーリング型に対しては、最適化問題の最適解(準最適解)が得られない場合にリバースアニーリングを行う技術が存在するが、リバースアニーリングの汎用的なスケジュール方法を考案した。実機での検証は十分に行えてないものの、汎用的なアルゴリズムであると考えている。さらに本課題と関係する量子通信の研究にも進展があった。量子通信にはASKコヒーレント状態のグラム行列やn重対角行列など数値線形代数の問題が頻出し、本課題との意外な関連があることが研究を通して明らかになった。

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

2022年度に引き続き、数値線形代数に対する古典アルゴリズムの開発だけでなく、変分量子アルゴリズムの研究が進んだこと、量子アニーリングの研究も引き続き進めることができたこと、量子コンピュータ実機での計算も進んでおり、おおむね順調に進展していると判断した。

Strategy for Future Research Activity

これまで新型コロナウイルス感染症による渡航制限により当初の国際会議出張ができなかったため、今後は研究成果の広報活動を積極的に行う予定である。引き続きこの一年間の延長を有効に活用すべく、量子・古典ハイブリッドアルゴリズムの研究を進めていく。

Report

(6 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (103 results)

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article (34 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 33 results,  Open Access: 10 results) Presentation (67 results) (of which Int'l Joint Research: 25 results,  Invited: 3 results) Book (2 results)

  • [Journal Article] Detection scheme using a beam splitter and on-off detectors for non-Gaussian state-based quantum illumination with attenuation2024

    • Author(s)
      Wang Tiancheng、Usuda Tsuyoshi Sasaki
    • Journal Title

      Optics Continuum

      Volume: 3 Issue: 4 Pages: 543-543

    • DOI

      10.1364/optcon.514321

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Simple Detection Scheme and Performance Evaluation for Quantum Illumination Using Quasi-Bell State2023

    • Author(s)
      Wang Tiancheng、Usuda Tsuyoshi Sasaki
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 143 Issue: 12 Pages: 1090-1098

    • DOI

      10.1541/ieejeiss.143.1090

    • ISSN
      0385-4221, 1348-8155
    • Year and Date
      2023-12-01
    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] A PSK-Type Asymmetric Quantum Communication and Its Error Performance in Attenuated Environments2023

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Journal Title

      電子情報通信学会論文誌B 通信

      Volume: J106-B Issue: 3 Pages: 112-125

    • DOI

      10.14923/transcomj.2022GWP0018

    • ISSN
      1881-0209
    • Year and Date
      2023-03-01
    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Tensor product-type methods for solving Sylvester tensor equations2023

    • Author(s)
      Niu Jing、Sogabe Tomohiro、Du Lei、Kemmochi Tomoya、Zhang Shao-Liang
    • Journal Title

      Applied Mathematics and Computation

      Volume: 457 Pages: 128155-128155

    • DOI

      10.1016/j.amc.2023.128155

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantum Chernoff Bound for Quantum Reading Using the Quasi-Bell State2023

    • Author(s)
      T. Wang and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 297-300

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the optimal quantum state of BPSK-type asymmetric quantum communication in an attenuation environment2023

    • Author(s)
      S. Sameshima, T. Wang, S. Takahira, S. Usami, and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 44-47

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comparison of several quantum receivers for coherent-state signals by using classical reliability function2023

    • Author(s)
      K. Masaki, T. Wang, S. Takahira, S. Usami, and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 114-117

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Calculation of capacity with discrete-valued inputs using efficiently obtained eigenvalues2023

    • Author(s)
      S. Kitamura, T. Wang, S. Takahira, and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 267-270

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comparison of capacity and coding rates in CPPM-type quantum cipher with outer codes2023

    • Author(s)
      Y. Wakahara, S. Takahira, S. Usami, and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 279-281

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effect of scattering on quantum ghost imaging and ordinary imaging2023

    • Author(s)
      Y. Horiba, T. Wang, and T. S. Usuda
    • Journal Title

      23rd Asian Quantum Information Science Conference (AQIS2023)

      Volume: 1 Pages: 261-264

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Simplification of the Gram Matrix Eigenvalue Problem for Quantum Signals Formed by Rotating Signal Points in a Circular Sector Region2022

    • Author(s)
      王天澄, 宮崎龍輔, 高比良宗一, 臼田毅
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 142 Issue: 12 Pages: 1253-1261

    • DOI

      10.1541/ieejeiss.142.1253

    • ISSN
      0385-4221, 1348-8155
    • Year and Date
      2022-12-01
    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effect of Multiple Positions Illumination in Quantum Ghost Imaging2022

    • Author(s)
      高橋祐斗, 王天澄, 宇佐見庄五, 臼田毅
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 142 Issue: 8 Pages: 933-941

    • DOI

      10.1541/ieejeiss.142.933

    • ISSN
      0385-4221, 1348-8155
    • Year and Date
      2022-08-01
    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Error Performances and Robust Design Criteria for Quantum Receiver in the Presence of Phase Noise2022

    • Author(s)
      王 天澄, 小山 真司, 中平 健治, 臼田 毅
    • Journal Title

      電子情報通信学会論文誌B 通信

      Volume: J105-B Issue: 3 Pages: 39-51

    • DOI

      10.14923/transcomj.2021GWP0028

    • ISSN
      1881-0209
    • Year and Date
      2022-03-01
    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Geometric Representation of the Belavkin Weighted Square-root Measurement for Pure-state Signals2022

    • Author(s)
      五十川 翔梧, 中川 綾太, 王 天澄, 高比良 宗一, 臼田 毅
    • Journal Title

      電子情報通信学会論文誌B 通信

      Volume: J105-B Issue: 3 Pages: 62-73

    • DOI

      10.14923/transcomj.2021GWP0030

    • ISSN
      1881-0209
    • Year and Date
      2022-03-01
    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Simplification of Calculation of Channel Matrix for Non-symmetric Signals2022

    • Author(s)
      宮崎 龍輔, 吉田 真菜, 王 天澄, 高比良 宗一, 臼田 毅
    • Journal Title

      電子情報通信学会論文誌B 通信

      Volume: J105-B Issue: 3 Pages: 74-87

    • DOI

      10.14923/transcomj.2021GWP0032

    • ISSN
      1881-0209
    • Year and Date
      2022-03-01
    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Error Probabilities of Quantum Illumination with Attenuation Using Maximum and Non-maximum Quasi-Bell States2022

    • Author(s)
      王 天澄, 高比良宗一, 臼田 毅
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 142 Issue: 2 Pages: 151-161

    • DOI

      10.1541/ieejeiss.142.151

    • NAID

      130008150253

    • ISSN
      0385-4221, 1348-8155
    • Year and Date
      2022-02-01
    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Simplification of the Gram matrix eigenvalue problem for quadrature amplitude modulation signals2022

    • Author(s)
      R. Miyazaki, T. Wang, T. S. Usuda
    • Journal Title

      Entropy

      Volume: 24 Issue: 4 Pages: 1-17

    • DOI

      10.3390/e24040544

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Error performance of amplitude shift keying-type asymmetric quantum communication system2022

    • Author(s)
      T. Wang, T. S. Usuda
    • Journal Title

      Entropy

      Volume: 24 Issue: 5 Pages: 1-24

    • DOI

      10.3390/e24050708

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum Algorithms based on the block-encoding framework for matrix functions by contour integrals2022

    • Author(s)
      S. Takahira, A. Ohashi, T. Sogabe, T. S. Usuda
    • Journal Title

      Quantum Information and Computation

      Volume: 22 Issue: 11&12 Pages: 965-979

    • DOI

      10.26421/qic22.11-12-4

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Recent development for computing singular values of a generalized tensor sum2022

    • Author(s)
      Asuka Ohashi, Tomohiro Sogabe
    • Journal Title

      Journal of Advanced Simulation in Science and Engineering

      Volume: 9 Issue: 1 Pages: 136-149

    • DOI

      10.15748/jasse.9.136

    • ISSN
      2188-5303
    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Numerical Algorithms for Computing an Arbitrary Singular Value of a Tensor Sum2021

    • Author(s)
      Asuka Ohashi, Tomohiro Sogabe
    • Journal Title

      Axioms

      Volume: 10 Issue: 3 Pages: 1-14

    • DOI

      10.3390/axioms10030211

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of Non-Gaussian Noise Due to Beam Wandering on Error Performance of Quantum Measurement2020

    • Author(s)
      T. Wang, T. S. Usuda
    • Journal Title

      IEICE Proceeding Series

      Volume: 65 Pages: 106-110

    • DOI

      10.34385/proc.65.A06-1

    • NAID

      230000012561

    • ISSN
      2188-5079
    • Year and Date
      2020-10-18
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance Evaluation of Ghost Imaging with Orthogonal/Non-orthogonal Quantum States in Terms of Image Quality2020

    • Author(s)
      Y. Takahashi, T. Wang, S. Usami, T. S. Usuda
    • Journal Title

      IEICE Proceeding Series

      Volume: 65 Pages: 111-115

    • DOI

      10.34385/proc.65.A06-2

    • NAID

      230000012563

    • ISSN
      2188-5079
    • Year and Date
      2020-10-18
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum Illumination using Quasi-Bell States2020

    • Author(s)
      J. Yamauchi, Y. Takahashi, T. Wang, T. S. Usuda
    • Journal Title

      IEICE Proceeding Series

      Volume: 65 Pages: 116-120

    • DOI

      10.34385/proc.65.A06-3

    • NAID

      230000012624

    • ISSN
      2188-5079
    • Year and Date
      2020-10-18
    • Related Report
      2020 Research-status Report
  • [Journal Article] Simplification of the Calculation of the Channel Matrix for AMPM Coherent-state Signals2020

    • Author(s)
      R. Miyazaki, M. Yoshida, T. Wang, T. S. Usuda
    • Journal Title

      IEICE Proceeding Series

      Volume: 65 Pages: 121-125

    • DOI

      10.34385/proc.65.A06-4

    • NAID

      230000012628

    • ISSN
      2188-5079
    • Year and Date
      2020-10-18
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] A thick-restart Lanczos type method for Hermitian J-symmetric eigenvalue problems2020

    • Author(s)
      K.-I. Ishikawa, T. Sogabe
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 38 Issue: 1 Pages: 233-256

    • DOI

      10.1007/s13160-020-00435-x

    • NAID

      210000179308

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations2020

    • Author(s)
      T. Sogabe, A. Suzuki, S.-L. Zhang,
    • Journal Title

      CSIAM Transactions on Applied Mathematics

      Volume: 1 Issue: 1 Pages: 142-154

    • DOI

      10.4208/csiam-am.2020-0008

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum algorithm for matrix functions by Cauchy's integral formula2020

    • Author(s)
      S.Takahira, A. Ohashi, T. Sogabe, T. S. Usuda
    • Journal Title

      Quantum Information and Computation 20:1-2 (2020), pp. 14-36.

      Volume: 20 Pages: 14-36

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Adaptive SOR methods based on the Wolfe conditions2019

    • Author(s)
      Y. Miyatake, T. Sogabe, S.-L. Zhang
    • Journal Title

      Numerical Algorithms

      Volume: 84 Issue: 1 Pages: 117-132

    • DOI

      10.1007/s11075-019-00748-0

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schr?dinger equation2019

    • Author(s)
      Y. Miyatake, T. Nakagawa, T. Sogabe, S.-L. Zhang
    • Journal Title

      Journal of Computational Dynamics

      Volume: 6 Issue: 2 Pages: 361-383

    • DOI

      10.3934/jcd.2019018

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relation between the T-congruence Sylvester equation and the generalized Sylvester equation2019

    • Author(s)
      Y. Satake, M. Oozawa, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
    • Journal Title

      Applied Mathematics Letters

      Volume: 96 Pages: 7-13

    • DOI

      10.1016/j.aml.2019.04.007

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On computing the minimum singular value of a tensor sum2019

    • Author(s)
      Ohashi A.、Sogabe T.
    • Journal Title

      Special Matrices

      Volume: 7 Issue: 1 Pages: 95-106

    • DOI

      10.1515/spma-2019-0009

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Bidiagonalization of (k, k+1)-tridiagonal matrices2019

    • Author(s)
      S. Takahira, T. Sogabe, and T. S. Usuda
    • Journal Title

      Special Matrices

      Volume: 7 Issue: 1 Pages: 20-26

    • DOI

      10.1515/spma-2019-0002

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Computing the <i>k</i>-th Singular Triplet2019

    • Author(s)
      李 東珍、曽我部 知広、宮武 勇登、張 紹良
    • Journal Title

      Transactions of the Japan Society for Industrial and Applied Mathematics

      Volume: 29 Issue: 1 Pages: 121-140

    • DOI

      10.11540/jsiamt.29.1_121

    • NAID

      130007618977

    • ISSN
      2424-0982
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Numerical Algorithms for Computing Singular Values of a Generalized Tensor Sum2023

    • Author(s)
      T. Sogabe and A. Ohashi
    • Organizer
      The 14th International Conference on Numerical Optimization and Numerical Linear Algebra, China
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 探索的リバースアニーリングの提案と看護師勤務表作成問題への適用2023

    • Author(s)
      稲垣健亮, 曽我部 知広, 剱持 智哉, 張 紹良
    • Organizer
      情報処理学会 第10回量子ソフトウェア研究会
    • Related Report
      2023 Research-status Report
  • [Presentation] 行列方程式に対する反復法のためのテンソル構造保存型前処理について2022

    • Author(s)
      佐竹祐樹,曽我部知広,剱持智哉,張紹良
    • Organizer
      日本応用数理学会 2022年度 年会
    • Related Report
      2022 Research-status Report
  • [Presentation] 非対称シフト線形方程式のためのBiCGStab法に基づく数値解法2022

    • Author(s)
      趙仁傑, 曽我部知広, 剱持智哉, 張紹良
    • Organizer
      日本応用数理学会 2022年度 年会
    • Related Report
      2022 Research-status Report
  • [Presentation] 最小二乗問題に対するtwo-subspace randomized extended Kaczmarz法の拡張2022

    • Author(s)
      安達和晃, 曽我部知広, 剱持智哉, 張紹良
    • Organizer
      日本応用数理学会 2022年度 連合発表会
    • Related Report
      2022 Research-status Report
  • [Presentation] Geometric representation and optimum weights of the BWSRM for binary mixed state signals2022

    • Author(s)
      S. Isokawa, K. Miyachi, T. Wang, S. Takahira, T. S. Usuda
    • Organizer
      2022 International Symposium on Information Theory and Its Applications (ISITA2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Towards the construction of quantum error correcting codes for multiple insertion errors2022

    • Author(s)
      Y. Adachi, S. Usami, T. S. Usuda
    • Organizer
      2022 International Symposium on Information Theory and Its Applications (ISITA2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effects of coding for CPPM-type quantum cipher2022

    • Author(s)
      Y. Wakahara, S. Takahira, S. Usami, T. S. Usuda
    • Organizer
      2022 International Symposium on Information Theory and Its Applications (ISITA2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] PSK-type asymmetric quantum communication and its attenuation characteristics2022

    • Author(s)
      S. Sameshima, T. Wang, S. Usami, T. S. Usuda
    • Organizer
      2022 International Symposium on Information Theory and Its Applications (ISITA2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Geometric representation and optimum weight of the BWSRM for mixed state signals2022

    • Author(s)
      S. Isokawa, K. Miyachi, T. Wang, S. Takahira, T. S. Usuda
    • Organizer
      22nd Asian Quantum Information Science Conference (AQIS2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] On the construction of quantum error correcting codes for 1-deletion and 1-insertion errors2022

    • Author(s)
      Y. Adachi, S. Usami, T. S. Usuda
    • Organizer
      22nd Asian Quantum Information Science Conference (AQIS2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Applying outer codes to CPPM-type quantum cipher2022

    • Author(s)
      Y. Wakahara, S. Takahira, S. Usami, T. S. Usuda
    • Organizer
      22nd Asian Quantum Information Science Conference (AQIS2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] PSK-type asymmetric quantum communication and its noisy environment characteristics2022

    • Author(s)
      S. Sameshima, T. Wang, S. Usami, T. S. Usuda
    • Organizer
      22nd Asian Quantum Information Science Conference (AQIS2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非対称なM元コヒーレント状態信号の重み付きグラム行列固有値問題の簡単化2022

    • Author(s)
      北村嗣音, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 2元混合状態信号に対する量子測定BWSRMの最適重みについて2022

    • Author(s)
      宮地謙吾, 五十川翔梧, 王天澄, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] コヒーレント状態を用いた通信における量子と古典の違いに関する考察2022

    • Author(s)
      正木謙, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 減衰環境下における位相変調を用いた非対称型量子通信の送信量子状態の考察2022

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 量子コンピュータによる量子最適受信機の実証実験2022

    • Author(s)
      権煕旭, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 2挿入誤り訂正可能な量子符号の例2022

    • Author(s)
      足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] CPPM型量子暗号に対する符号化の導入とその効果2022

    • Author(s)
      若原悠生, 宇佐見庄五, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 量子ゴーストイメージングの解析に用いられる積状態について2022

    • Author(s)
      堀場靖司, 王天澄, 臼田毅
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 量子通信における量子測定過程の幾何学的表現に関する研究2022

    • Author(s)
      五十川翔梧
    • Organizer
      令和4年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 2量子挿入誤り訂正符号の検討2022

    • Author(s)
      足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      第45回情報理論とその応用シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] 量子測定通信路における古典信頼性関数の性質2022

    • Author(s)
      正木謙, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      第45回情報理論とその応用シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] 非対称量子信号に対する密度作用素の固有値問題簡単化と通信路容量計算への応用2022

    • Author(s)
      北村嗣音, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      第45回情報理論とその応用シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] 混合状態信号に対するBWSRMの幾何学的表現と最適重みについて2022

    • Author(s)
      五十川翔梧, 宮地謙吾, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      第45回情報理論とその応用シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] 散乱の影響下での量子ゴーストイメージングの優位性2022

    • Author(s)
      堀場靖司, 王天澄, 臼田毅
    • Organizer
      第45回情報理論とその応用シンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] CPPM型量子暗号に対する符号化とその量子最適受信特性2022

    • Author(s)
      若原悠生, 宇佐見庄五, 臼田毅
    • Organizer
      第20回情報学ワークショップ (WiNF2022)
    • Related Report
      2022 Research-status Report
  • [Presentation] 様々な量子受信機の古典信頼性関数を用いた特性評価2022

    • Author(s)
      正木謙, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      第20回情報学ワークショップ (WiNF2022)
    • Related Report
      2022 Research-status Report
  • [Presentation] 位相変調を用いた非対称型量子通信と雑音環境下における最適な送信量子状態の考察2022

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      第20回情報学ワークショップ (WiNF2022)
    • Related Report
      2022 Research-status Report
  • [Presentation] Computation of singular values for generalized tensor sum2021

    • Author(s)
      T. Sogabe and A. Ohashi
    • Organizer
      The 40th JSST Annual International Conference on Simulation Technology
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric representation of the Belavkin weighted square-root measurement for two-dimensional signals2021

    • Author(s)
      S. Isokawa, R. Nakagawa, T. Wang, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Simplication of the calculation of the channel matrix for nm-ary AMPM coherent-state signals2021

    • Author(s)
      R. Miyazaki, T. Wang, S. Takahira, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum algorithms based on the block-encoding framework for matrix functions by contour integrals2021

    • Author(s)
      S. Takahira, A. Ohashi, T. Sogabe, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Error performance of ASK-type asymmetric quantum communication2021

    • Author(s)
      T. Wang, S. Takahira, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Equivalence of quantum codes in quantum deletion insertion channel with erasure errors2021

    • Author(s)
      Y. Adachi, S. Usami, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum illumination by quasi-Bell state is always superior to laser radar2021

    • Author(s)
      J. Yamauchi, T. Wang, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Equations of conditions for Kraus operators of probabilistic attenuated channel2021

    • Author(s)
      R. Nakagawa, T. Wang, T. S. Usuda
    • Organizer
      21st Asian Quantum Information Science Conference (AQIS2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] CPPM型KCQ量子暗号における量子利得の符号化による改善2021

    • Author(s)
      若原悠生, 足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 量子信頼性関数の上界の性質とKCQプロトコルの安全性評価への応用2021

    • Author(s)
      森本絵偉, 中川綾太, 王天澄, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 擬似ベル状態を用いた非対称型量子通信方式2021

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 混合状態信号に対するグラム行列2021

    • Author(s)
      佐原悠太, 宮崎龍輔, 五十川翔梧, 王天澄, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] Kraus作用素による量子消失誤りの表現2021

    • Author(s)
      足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 複数点同時照射型量子ゴーストイメージング特性の対象物依存性2021

    • Author(s)
      岩間優樹, 山内淳, 王天澄, 臼田毅
    • Organizer
      令和3年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 量子削除/挿入誤りと量子消失・置換誤りに対するKraus作用素の可換性2021

    • Author(s)
      足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      第19回情報学ワークショップ (WiNF2021)
    • Related Report
      2021 Research-status Report
  • [Presentation] 直接暗号化量子暗号KCQにおける符号化を用いた正規受信者の利得改善2021

    • Author(s)
      若原悠生, 足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      第19回情報学ワークショップ (WiNF2021)
    • Related Report
      2021 Research-status Report
  • [Presentation] 擬似ベル状態を用いた非対称型量子通信の多値化による誤り率特性の考察2021

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      第19回情報学ワークショップ (WiNF2021)
    • Related Report
      2021 Research-status Report
  • [Presentation] 量子削除/挿入誤りと他の誤りに対するKraus作用素の可換性2021

    • Author(s)
      足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] 多元PSK信号に対する量子信頼性関数の上界の性質とKCQプロトコルの安全性評価への応用2021

    • Author(s)
      森本絵偉, 中川綾太, 王天澄, 臼田毅
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] Trine信号に対するBelavkin Weighted Square-root Measurementの幾何学的表現2021

    • Author(s)
      五十川翔梧, 中川綾太, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] 直接検波を用いたCPPM型KCQに対する符号化の効果2021

    • Author(s)
      若原悠生, 足立侑真, 宇佐見庄五, 臼田毅
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] 擬似ベル状態を用いた非対称型量子通信の多値化の検討2021

    • Author(s)
      鮫島卓, 王天澄, 宇佐見庄五, 臼田毅
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] Qiskit による量子一括復号回路の設計2020

    • Author(s)
      竹内将太, 王天澄, 高比良宗一, 臼田毅
    • Organizer
      令和2年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2020 Research-status Report
  • [Presentation] 新たな量子誤りのN量子ビットテレポーテーションに対する影響2020

    • Author(s)
      足立侑真, 高橋祐斗, 宇佐見庄五, 臼田毅
    • Organizer
      第18回情報学ワークショップ (WiNF2020)
    • Related Report
      2020 Research-status Report
  • [Presentation] エンタングルド状態のN量子ビットテレポーテーションにおける量子誤りの影響2020

    • Author(s)
      足立侑真, 高橋祐斗, 宇佐見庄五, 臼田毅
    • Organizer
      電子情報通信学会 情報理論研究会
    • Related Report
      2020 Research-status Report
  • [Presentation] Simplification of the calculation of the channel matrix for 4m^2-ary QAM coherent-state signals2020

    • Author(s)
      R. Miyazaki, M. Yoshida, T. Wang, S. Takahira, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kraus representation of probabilistic attenuated channel2020

    • Author(s)
      R. Nakagawa, T. Wang, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Exact solution of error probability for quantum illumination with attenuation using quasi-Bell state2020

    • Author(s)
      T. Wang, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum illumination by quasi-Bell states with thermal noise2020

    • Author(s)
      J. Yamauchi, Y. Takahashi, T. Wang, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] PSNR characteristics of quantum ghost imaging with multiple positions illumination2020

    • Author(s)
      Y. Takahashi, T. Wang, S. Usami, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Evaluation of quantum gain for KCQ protocol using best multi-ary codes in high or low rate2020

    • Author(s)
      M. Yoshida, S. Usami, T. S. Usuda
    • Organizer
      20th Asian Quantum Information Science
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] QISKitによる行列関数に対する量子アルゴリズムの実装に向けたツールについて2019

    • Author(s)
      飯田拓磨, 高比良宗一, 臼田毅,
    • Organizer
      令和元年度電気・電子・情報関係学会東海支部連合大会, 大同大学, G4-5,
    • Related Report
      2019 Annual Research Report
  • [Presentation] Quantum algorithm for matrix functions by Cauchy's integral formula,2018

    • Author(s)
      S. Takahira, A. Ohashi, T. Sogabe, T. S. Usuda,
    • Organizer
      18th Asian Quantum Information Science Conference (AQIS2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Recent progress on numerical algorithms for large eigenvalue problems2018

    • Author(s)
      T. Sogabe, D. Lee, S.-L. Zhang
    • Organizer
      The Workshop on Computational Methods for Eigenvalue Problems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子断熱計算を用いた巡回的なハミルトニアンの最小固有値の導出について2018

    • Author(s)
      山田俊宏, 高比良宗一, 臼田毅
    • Organizer
      平成30年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 古典最適復号に適したハミルトニアンの固有値の変動2018

    • Author(s)
      八木下賢悟, 高比良宗一, 宇佐見庄五, 臼田毅
    • Organizer
      平成30年度電気・電子・情報関係学会東海支部連合大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] An inertia-based algorithm for the k-th eigenvalue problem of large matrices2018

    • Author(s)
      李東珍,星健夫,曽我部知広,宮武勇登,張紹良
    • Organizer
      京都大学数理解析研究所 共同研究(公開型)次世代の科学技術を支える数値解析学の基盤整備と応用展開
    • Related Report
      2018 Annual Research Report
  • [Book] Krylov Subspace Methods for Linear Systems: Principles of Algorithms2023

    • Author(s)
      T. Sogabe
    • Total Pages
      225
    • Publisher
      Springer
    • ISBN
      9789811985324
    • Related Report
      2022 Research-status Report
  • [Book] 20世紀のトップ10アルゴリズム2022

    • Author(s)
      曽我部知広(分担執筆)、張紹良編
    • Total Pages
      28
    • Publisher
      共立出版
    • ISBN
      9784320122673
    • Related Report
      2021 Research-status Report

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Published: 2018-07-20   Modified: 2024-12-25  

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