Development of Algorithm for Optimization Problem Based on Quantum Information Theory

• Project/Area Number: 21840021
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo
• Principal Investigator: TANAKA Shu The University of Tokyo, 総合理工学研究科, 博士研究員 (40507836)
• Project Period (FY): 2009 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,574,000 (Direct Cost: ¥1,980,000、Indirect Cost: ¥594,000); Fiscal Year 2010: ¥1,196,000 (Direct Cost: ¥920,000、Indirect Cost: ¥276,000); Fiscal Year 2009: ¥1,378,000 (Direct Cost: ¥1,060,000、Indirect Cost: ¥318,000)
• Keywords: 量子アニーリング / エンタングルメント / 量子ダイナミクス / 量子情報 / 透明状態 / 量子断熱計算 / エンタングルメントエントロピー / 緩和現象

Research Abstract

Quantum information processing is expected that one of efficient method for optimization problems which are very difficult problem to solve in a short time. It is based on quantum physics. I developed a method to solve optimization problems - quantum annealing. I also studied how to calculate quantum entanglement which is regarded as an important for quantum information processing.

Research Products

• [Journal Article] Hamiltonian Determination with Restricted Access in Transverse Ising Chain (2011)
  • Author(s): Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, Yasushi Kondo
  • Journal Title: Journal of the Physical Society of Japan Vol.80 Pages: 44002-44002
  • Peer Reviewed
• [Journal Article] Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems (2011)
  • Author(s): Shu Tanaka, Masaki Hirano, Seiji Miyashita
  • Journal Title: Physica E Vol.43 Pages: 766-766
  • Peer Reviewed
• [Journal Article] Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems (2011)
  • Author(s): Shu Tanaka, Masaki Hirano, Seiji Miyashita
  • Journal Title: Physica E Volume: 43 Pages: 766-768
  • Peer Reviewed
• [Journal Article] Phase Transition in Potts Model with Invisible States (2010)
  • Author(s): Ryo Tamura, Shu Tanaka, Naoki Kawashima
  • Journal Title: Progress of Theoretical Physics Vol.124 Pages: 381-381
  • NAID: 110007700558
  • Peer Reviewed
• [Journal Article] Entanglement in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin, Shu Tanaka
  • Journal Title: Journal of Physics A Vol.43 Pages: 255303-255303
  • Peer Reviewed
• [Journal Article] Non-Monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field (2010)
  • Author(s): Shu Tanaka, Seiji Miyashita
  • Journal Title: Physical Review E Vol.81 Pages: 51138-51138
  • Peer Reviewed
• [Journal Article] Roles of Quantum Fluctuation in Frustrated Systems -Order by Disorder and Reentrant Phase Transition- (2010)
  • Author(s): Shu Tanaka, Masaki Hirano, Seiji Miyashita
  • Journal Title: Lecture Note in Physics (Springer) "Quantum Quenching, Annealing, and Computation" Vol.802 Pages: 215-215
• [Journal Article] Non-monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field (2010)
  • Author(s): Shu Tanaka, Seiji Miyashita
  • Journal Title: Physical Review E Volume: 81
  • Peer Reviewed
• [Journal Article] Roles of Quantum Fluctuation in Frustrated Systems--Order by Disorder and Reentrant Phase Transition-- (2010)
  • Author(s): Shu Tanaka, Masaki Hirano, Seiji Miyashita
  • Journal Title: Lecture Note in Physics (Springer) "Quantum quenching, annealing, and computation" Volume: 802 Pages: 215-234
  • Peer Reviewed
• [Journal Article] Entanglement in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin, Shu Tanaka
  • Journal Title: Journal of Physics A Volume: 43
  • Peer Reviewed
• [Journal Article] Phase Transition in Potts Model with Invisible States (2010)
  • Author(s): Ryo Tamura, Shu Tanaka, Naoki Kawashima
  • Journal Title: Progress of Theoretical Physics Volume: 124 Pages: 381-388
  • NAID: 110007700558
  • Peer Reviewed
• [Presentation] ネットワーク成長ルールとパーコレーション転移の関係 (2011)
  • Author(s): 田中宗、田村亮
  • Organizer: 日本物理学会第66回年次大会
  • Place of Presentation: 新潟大学
  • Year and Date: 2011-03-28
• [Presentation] Hamiltonian Identification through Edge Spin in Transverse Ising Chain (2011)
  • Author(s): Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, Yasushi Kondo
  • Organizer: 日本物理学会第66回年次大会
  • Place of Presentation: 新潟大学
  • Year and Date: 2011-03-25
• [Presentation] Quantum Information Meets Statistical Physics (2011)
  • Author(s): 田中宗
  • Organizer: Symposium on Quantum Information and Quantum Computing
  • Place of Presentation: 近畿大学
  • Year and Date: 2011-03-12
• [Presentation] Entanglement Entropy in Valence-Bond-Solid States on Symmetric Graphs (2011)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E. Korepin
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: 東京大学
  • Year and Date: 2011-02-15
• [Presentation] Quantum Fluctuation and Invisible Fluctuation on the Potts Model (2011)
  • Author(s): Ryo Tamura, Shu Tanaka, Issei Sato, Kenichi Kurihara
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: 東京大学
  • Year and Date: 2011-02-15
• [Presentation] Quantum Annealing for Variational Bayes Inference (2011)
  • Author(s): Issei Sato, Kenichi Kurihara, Shu Tanaka, Seiji Miyashita, Hiroshi Nakagawa
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: 東京大学
  • Year and Date: 2011-02-15
• [Presentation] Hamiltonian Evaluation by Weak Measurement Scheme (2011)
  • Author(s): Yutaka Shikano, Shu Tanaka
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: 東京大学
  • Year and Date: 2011-02-15
• [Presentation] Hamiltonian Evaluation by Weak Measurement Scheme (2011)
  • Author(s): Yutaka Shikano, Shu Tanaka
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2011-02-15
• [Presentation] Quantum Annealing for Variational Bayes Inference (2011)
  • Author(s): Issei Sato, Kenichi Kurihara, Shu Tanaka, Seiji Miyashita, Hiroshi Nakagawa
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2011-02-15
• [Presentation] Quantum Fluctuation and Invisible Fluctuation on the Potts Model-Application for Quantum Annealing- (2011)
  • Author(s): Ryo Tamura, Shu Tanaka, Issei Sato, Kenichi Kurihara
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2011-02-15
• [Presentation] Entanglement Entropy in Valence-Bond-Solid States on Symmetric Graphs (2011)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: The Third International Workshop on Dynamics and Manipulation of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2011-02-15
• [Presentation] Properties of Generalized Percolation Model (2011)
  • Author(s): Shu Tanaka, Ryo Tamura
  • Organizer: International Symposium "Nanoscience and Quantum Physics 2011"
  • Place of Presentation: 国際会館(東京)
  • Year and Date: 2011-01-27
• [Presentation] Properties of Generalized Percolation Model (2011)
  • Author(s): Shu Tanaka, Ryo Tamura
  • Organizer: International Symposium "Nanoscience and Quantum Physics 2011"(nanoPHYS'11)
  • Place of Presentation: Roppongi International Hall, Tokyo, Japan
  • Year and Date: 2011-01-27
• [Presentation] Entanglement Entropy in VBS State on Square Lattice and Hexagonal Lattice (2011)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: ERATO Macroscopic Quantum Control Conference on Ultracold Atoms and Molecules
  • Place of Presentation: 東京大学
  • Year and Date: 2011-01-24
• [Presentation] Entanglement entropy in VBS state on square lattice and hexagonal lattice (2011)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: ERATO MACROSCOPIC QUANTUM CONTROL CONFERENCE ON ULTRACOLD ATOMS AND MOLECULES
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2011-01-24
• [Presentation] Quantum Process Tomography and Weak Measurement (2011)
  • Author(s): Yutaka Shikano, Shu Tanaka
  • Organizer: International Symposium on Nanoscale Transport and Technology(ISNTT2011)
  • Place of Presentation: NTT Atsugi R&D Center, Kanagawa, Japan
  • Year and Date: 2011-01-12
• [Presentation] Dynamical Properties of Potts Model with Invisible States (2011)
  • Author(s): Shu Tanaka, Ryo Tamura
  • Organizer: International Conference on Frustration in Condensed Matter
  • Place of Presentation: 仙台国際ホール
  • Year and Date: 2011-01-11
• [Presentation] Dynamical Properties of Potts Model with Invisible States (2011)
  • Author(s): Shu Tanaka, Ryo Tamura
  • Organizer: International Conference on Frustration in Condensed Matter
  • Place of Presentation: Sendai Conference Hall, Sendai, Japan
  • Year and Date: 2011-01-11
• [Presentation] 2次元VBS状態におけるエンタングルメント・エントロピー (2011)
  • Author(s): 田中宗、桂法称、川島直輝、Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: 物性研・CMSI・次世代ナノ情報合同研究会「計算物質科学の課題と展望」
  • Place of Presentation: 東京大学物性研究所
  • Year and Date: 2011-01-05
• [Presentation] Phase Transition of Generalized Ferromagnetic Potts Model -Effect of Invisible States- (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Naoki Kawashima
  • Organizer: STATPHYS-KOLKATA VII
  • Place of Presentation: インド・サハ核物理学研究所(招待講演)
  • Year and Date: 2010-11-26
• [Presentation] Phase Transition of Generalized Ferromagnetic Potts Model--Effect of Invisible States-- (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Naoki Kawashima
  • Organizer: STATPHYS-KOLKATA VII
  • Place of Presentation: Saha Institute of Nuclear Physics, Kolkata, India
  • Year and Date: 2010-11-26
• [Presentation] weak measurementによるスピン相互作用の推定 (2010)
  • Author(s): 田中宗, 鹿野豊
  • Organizer: 基研研究会「量子科学における双対性とスケール」
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-11-05
• [Presentation] Hamiltonian Identification for a 3-Spin Chain (2010)
  • Author(s): Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, Yasushi Kondo
  • Organizer: 基研研究会「量子科学における双対性とスケール」
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-11-04
• [Presentation] Hyperfine Interaction Estimation of Nitrogen Vacancy Center in Diamond (2010)
  • Author(s): Yutaka Shikano, Shu Tanaka
  • Organizer: Joint Fall Meeting of the New England Sections of the APS and the AAPT
  • Place of Presentation: Providence, Rhode Island
  • Year and Date: 2010-10-30
• [Presentation] Entanglement Entropy in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: International Workshop on "New Development of Numerical Simulations in Low-Dimensional Quantum Systems : From Density Matrix Renormalization Group to Tensor Network Formulations"
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2010-10-29
• [Presentation] Entanglement Entropy in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: International workshop on "New Development of Numerical Simulations in Low-Dimensional Quantum Systems : From Density Matrix Renormalization Group to Tensor Network Formulations"
  • Place of Presentation: Yukawa Institute of Theoretical Physics, Kyoto University, Kyoto, Japan
  • Year and Date: 2010-10-29
• [Presentation] 二次元VBS状態におけるエンタングルメントエントロピーII (2010)
  • Author(s): 桂法称、田中宗、川島直輝、Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-25
• [Presentation] 透明状態のあるポッツモデル (2010)
  • Author(s): 田中宗、田村亮
  • Organizer: 日本物理学会2010 年秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-24
• [Presentation] 透明状態のあるポッツモデル (2010)
  • Author(s): 田中宗、田村亮
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-24
• [Presentation] Weak Measurementによるスピン相互作用の推定 (2010)
  • Author(s): 田中宗、鹿野豊
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-23
• [Presentation] Weak measurementによるスピン相互作用の推定 (2010)
  • Author(s): 田中宗、鹿野豊
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-23
• [Presentation] Entanglement in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: Statistical Physics of Quantum Systems
  • Place of Presentation: 東京大学
  • Year and Date: 2010-08-03
• [Presentation] Extra degrees of freedom change the order of phase transition in Potts model (2010)
  • Author(s): Ryo Tamura, Shu Tanaka, Naoki Kawashima
  • Organizer: Statistical Physics of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2010-08-03
• [Presentation] Entanglement in Valence-Bond-Solid States on Symmetric Graphs (2010)
  • Author(s): Shu Tanaka, Hosho Katsura, Naoki Kawashima, Anatol N.Kirillov, Vladimir E.Korepin
  • Organizer: Statistical Physics of Quantum Systems
  • Place of Presentation: University of Tokyo, Tokyo, Japan
  • Year and Date: 2010-08-03
• [Presentation] Quantum Annealing -from a viewpoint of effect of some kind of fluctuation for Potts model- (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Issei Sato, Kenichi Kurihara
  • Organizer: Kinki University Quantum Computing Series Summer School on Diversities in Quantum Computation/Information
  • Place of Presentation: Uコミュニティーホテル(大阪)
  • Year and Date: 2010-08-01
• [Presentation] Quantum Annealing--from a viewpoint of effect of some kind of fluctuation for Potts model-- (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Issei Sato, Kenichi Kurihara
  • Organizer: Kinki University Quantum Computing Series Summer School on Diversities in Quantum Computation/Information
  • Place of Presentation: U-Community Hotel, Osaka, Japan
  • Year and Date: 2010-08-01
• [Presentation] Phase Transition in Potts Model with Invisible States (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Naoki Kawashima
  • Organizer: XXIV IUPAP International Conference on Statistical Physics
  • Place of Presentation: オーストラリア・ケアンズ・コンベンションセンター
  • Year and Date: 2010-07-22
• [Presentation] Phase Transition in Potts Model with Invisible States (2010)
  • Author(s): Shu Tanaka, Ryo Tamura, Naoki Kawashima
  • Organizer: XXIV IUPAP International Conference on Statistical Physics
  • Place of Presentation: Convention Centre, Cairns, Queensland, Australia
  • Year and Date: 2010-07-22
• [Presentation] Hyperfine Interaction Hamiltonian Evaluation in Nitrogen Vacancy Center in Diamond using Weak Values (2010)
  • Author(s): Yutaka Shikano, Sota kagami, Shu Tanaka, Akio Hosoya
  • Organizer: 10th Quantum Communication, Measurement & Computing Conference
  • Place of Presentation: University of Queensland, Australia
  • Year and Date: 2010-07-19
• [Presentation] Weak measurementによるスピン相互作用の推定--NV centerを例として-- (2010)
  • Author(s): 田中宗、鹿野豊、各務惣太
  • Organizer: 物性研短期研究会「外部場の時間操作と実時間物理現象」
  • Place of Presentation: 東京大学物性研究所
  • Year and Date: 2010-06-23
• [Presentation] Spin-Spin Interaction Estimation using Weak Measurement (2010)
  • Author(s): Yutaka Shikano, Sota Kagami, Shu Tanaka
  • Organizer: CREST 2010 International Symposium on Physics of Quantum Technology
  • Place of Presentation: 一橋メモリアルホール(東京)
  • Year and Date: 2010-04-07
• [Presentation] Spin-Spin interaction Estimation using Weak Measurement (2010)
  • Author(s): Yutaka Shikano, Sota Kagami, Shu Tanaka
  • Organizer: CREST 2010 International Symposium on Physics of Quantum Technology
  • Place of Presentation: Hitotsubashi Memorial Hall, Tokyo, Japan
  • Year and Date: 2010-04-07
• [Presentation] 積層カゴメ反強磁性体における異常強磁性相と秩序化過程 (2010)
  • Author(s): 田中宗、宮下精二
  • Organizer: 日本物理学会 2010年年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-23
• [Presentation] 透明状態のあるポッツモデルにおける相転移 (2010)
  • Author(s): 田村亮、田中宗、川島直輝
  • Organizer: 日本物理学会 2010年年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-23
• [Presentation] Successive Phase Transitions and Phase Diagrams of $S$=5/2 Quasi-two Dimensional Triangular Antiferromagnet Rb4Mn(MoO4)3 (2010)
  • Author(s): 石井梨恵子, 小沼圭介, 田中宗, 徳永将史, 榊原俊郎, Dixie Gautreaux, Julia
  • Organizer: American Physical Society March Meeting 2010
  • Place of Presentation: Portland, Oregon, USA
  • Year and Date: 2010-03-17
• [Presentation] 透明状態のあるポッツモデルにおける相転移 (2010)
  • Author(s): 田村亮、田中宗、川島直輝
  • Organizer: 次世代スパコン物性科学分野研究会「新物質とエネルギー」
  • Place of Presentation: 東京国際フォーラム
  • Year and Date: 2010-03-10
• [Presentation] 2次元VBS状態におけるエンタングルメント・エントロピー (2010)
  • Author(s): 田中宗、桂法称、川島直輝、Anatol N.
  • Organizer: 次世代スパコン物性科学分野研究会「新物質とエネルギー」
  • Place of Presentation: 東京国際フォーラム
  • Year and Date: 2010-03-10
• [Presentation] 擬二次元三角反強磁性体RbMn(MoO4)3の磁気相図とスピン構造 (2010)
  • Author(s): 石井梨恵子、田中宗、小沼圭介、中辻知、町田洋、前野悦輝、川島直輝、徳永将史、榊原俊郎
  • Organizer: 平成21年度領域成果報告会(特定領域:フラストレーションが創る新しい物性
  • Place of Presentation: 京都大学
  • Year and Date: 2010-01-08
• [Presentation] 積層カゴメ反強磁性体における異常強磁性相と動的性質 (2010)
  • Author(s): 田中宗、宮下精二
  • Organizer: 平成21年度領域成果報告会(特定領域:フラストレーションが創る新しい物性
  • Place of Presentation: 京都大学
  • Year and Date: 2010-01-08
• [Presentation] 熱ゆらぎ・量子ゆらぎ同時制御型量子アニーリング法の開発 (2009)
  • Author(s): 田中宗、佐藤一誠、栗原賢一、中川裕志、宮下精二
  • Organizer: 物性研究所短期研究会計算物理学
  • Place of Presentation: 東京大学物性研究所
  • Year and Date: 2009-12-10
• [Presentation] 熱ゆらぎ・量子ゆらぎ同時制御型量子アニーリング法の開発 (2009)
  • Author(s): 田中宗、佐藤一誠、栗原賢一、中川裕志、宮下精二
  • Organizer: 物性研究所 短期研究会 計算物理学
  • Place of Presentation: 東京大学物性研究所
  • Year and Date: 2009-12-10
• [Presentation] 擬二次元三角格子反強磁性体Rb4M(MoO4)3 (M=Mn,Cu)の低温物性 (2009)
  • Author(s): 石井梨恵子、中辻知、町田洋、田中宗、徳永将史、榊原俊郎
  • Organizer: 第3回物性科学領域横断研究会
  • Place of Presentation: 東京大学
  • Year and Date: 2009-11-30
• [Presentation] カゴメ格子反強磁性体における異常強磁性相と動的性質 (2009)
  • Author(s): 田中宗、宮下精二
  • Organizer: 第3回物性科学領域横断研究会
  • Place of Presentation: 東京大学
  • Year and Date: 2009-11-30
• [Presentation] Latent Dirichlet Allocationの量子アニーリング変分ベイズ学習 (2009)
  • Author(s): 佐藤一誠、栗原賢一、田中宗、宮下精二、中川裕志
  • Organizer: 第12回情報論的学習理論ワークショップ
  • Place of Presentation: 九州大学
  • Year and Date: 2009-10-20
• [Presentation] Quantum Annealing for Informational Engineering Problems -Clustering and Quantum Bayes Inference- (2009)
  • Author(s): Shu Tanaka, Issei Sato, Kenichi Kurihara, Hiroshi Nakagawa, Seiji Miyashita
  • Place of Presentation: 東京大学
  • Year and Date: 2009-10-16
• [Presentation] Quantum Annealing for Informational Engineering Problems--Clustering problem and Quantum Bayes Inference-- (2009)
  • Author(s): 田中宗, 佐藤一誠, 栗原賢一, 中川裕志, 宮下精二
  • Organizer: Dynamics and Manipulation of Quantum Systems (DMSQ2009)
  • Place of Presentation: 東京大学
  • Year and Date: 2009-10-16
• [Presentation] 二次元VBS状態におけるエンタングルメントエントロピー (2009)
  • Author(s): 田中宗、桂法称、Itai Ryb, Vladimir E.Korepin
  • Organizer: 日本物理学会 2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-28
• [Presentation] S=5/2擬二次元三角格子反強磁性体Rb4Mn(MoO4)3における多重相図とその定量的考察 (2009)
  • Author(s): 石井梨恵子、中辻知、田中宗、徳永将史、榊原俊郎
  • Organizer: 日本物理学会 2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-28
• [Presentation] 量子アニーリング法を用いた変分ベイズ推定 (2009)
  • Author(s): 田中宗、佐藤一誠、栗原賢一、中川裕志、宮下精二
  • Organizer: 日本物理学会 2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25
• [Presentation] 量子アニーリング法を用いたクラスタ分析 (2009)
  • Author(s): 田中宗、栗原賢一、宮下精二
  • Organizer: 日本物理学会 2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25
• [Remarks] ホームページ等
  • URL: http://alice.math.kindai.ac.jp/~shu-t/
• [Remarks]
  • URL: http://alice.math.kindai.ac.jp/~shu-t/index.html