Research on inequalities related to several entropies in classical or quantum system

• Project/Area Number: 23540208
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Yamaguchi University
• Principal Investigator: YANAGI KENJIRO 山口大学, 理工学研究科, 教授 (90108267)
• Co-Investigator(Kenkyū-buntansha): 柳原 宏 山口大学, 大学院・理工学研究科, 准教授 (30200538) ; 岡田 真理 山口大学, 大学院・理工学研究科, 准教授 (40201389)
• Co-Investigator(Renkei-kenkyūsha): 古市 茂 日本大学, 文理学部, 教授 (50299327) ; 栗山 憲 佛教大学, 教育学部, 教授 (10116717)
• Project Period (FY): 2011 – 2013
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000); Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 量子情報理論 / エントロピー / 不確定性関係 / 作用素不等式 / 国際情報交流・中国 / Wigner-Yanase 歪情報量 / トレース不等式 / Wigner-Yanase歪情報量

Research Abstract

We obtained several uncertainty relations for generalized metric adjusted skew information or generalized metric adjusted correlation measure.

Research Products

• [Journal Article] Generalized metric adjusted skew information and uncertainty relation (2014)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of the International Symposium on Banach and Function Spaces IV Pages: 435-442
  • Peer Reviewed
• [Journal Article] Review on capacity of Gaussian channel with or without feedback (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 京都大学数理解析研究所講究録 Volume: vol.1852 Pages: 113-126
  • NAID: 110009625582
• [Journal Article] ある補助平均函数の凹性と一般化情報量の不確定性関係 (2013)
  • Author(s): Kenjiro Yanagi, Shigeru Furuichi and Ken Kuriyama
  • Journal Title: Proceedings of the 36 th Symposium on Information Theory and its Application Volume: vol.36 Pages: 376-381
• [Journal Article] Wigner-Yanase-Dyson 歪情報量に関連した不確定性関係 (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 作用素論・作用素環論研究集会報告集 Pages: 103-114
• [Journal Article] Concavity of an auxiliary mean function and its application (2013)
  • Author(s): Kenjiro Yanagi, Shigeru Furuichi and Ken Kuriyama
  • Journal Title: 実解析学シンポジウム報告集 Volume: vol.45 Pages: 99-103
• [Journal Article] Uncertainty relations for generalized metric adjusted skew information and metric adjusted correlation measure (2013)
  • Author(s): Kenjiro Yanagi, Shigeru Furuichi and Ken Kuriyama
  • Journal Title: Journal of Uncertainty Analysis and Applications Volume: vol.1, no.12 Pages: 1-11
  • Peer Reviewed
• [Journal Article] Bounds of logarithmic mean (2013)
  • Author(s): Shigeru Furuichi and Kenjiro Yanagi
  • Journal Title: Journal of Inequalities and Applications Volume: vol.2013, no.535 Pages: 1-11
  • NAID: 120005348363
  • Peer Reviewed
• [Journal Article] On a coefficient body for concave function (2013)
  • Author(s): R.Ohno and Hiroshi Yanagihara
  • Journal Title: Computational Methods and Function Theory Volume: vol.13 Pages: 237-251
  • Peer Reviewed
• [Journal Article] Generalized metric adusted skew information and uncertainty relation (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of the International Symposium on Banach and Function Spaces Volume: ４ Pages: 435-442
  • Peer Reviewed
• [Journal Article] Bounds of logarithmic mean (2013)
  • Author(s): Shigeru Furuichi
  • Journal Title: Journal of Inequalities and Applications Volume: 2013 Pages: 1-11
  • Peer Reviewed
• [Journal Article] Uncertainty relations for generalized metric adusted skew information and generalized metric adusted correlaion measure (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Journal of Uncertainty Analysis and Applications Volume: 1 Pages: 1-14
  • Peer Reviewed
• [Journal Article] Concavity of an auxiliary mean function and its application (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 実解析学シンポジウム報告集 Volume: 45 Pages: 99-103
• [Journal Article] ある補助平均函数の凹性と一般化歪情報量の不確定性関係 (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of the 36th Symposium on Information Theory and its Applications Volume: 36 Pages: 376-381
  • NAID: 120006665765
• [Journal Article] Review on capacity of Gaussian channel with or without feedback (2013)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 数理解析研究所講究録 Volume: 1852 Pages: 113-126
  • NAID: 110009625582
• [Journal Article] On a coefficient body for concave function (2013)
  • Author(s): R.Ohno
  • Journal Title: Computational Methods and Function Theory Volume: 13 Pages: 237-251
  • Peer Reviewed
• [Journal Article] Monotone 又は anti-monotone pair skew information に関連した不確定性関係の一般化について (2012)
  • Author(s): Kenjiro Yanagi and Satoshi Kajihara
  • Journal Title: 京都大学数理解析研究所講究録 Volume: vol.1820 Pages: 130-137
• [Journal Article] Wigner-Yanase-Dyson skew informationの一般化と関連する trace 不等式について (2012)
  • Author(s): Kenjiro Yanagi and Yoshiaki Tanaka
  • Journal Title: 京都大学数理解析研究所講究録 Volume: vol.1820 Pages: 171-182
• [Journal Article] 一般化された歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 実解析学シンポジウム報告集 Volume: vol.44 Pages: 99-104
• [Journal Article] Monotone pair 歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of the 35 th Symposium on Information Theory and its Applications Volume: vol.35 Pages: 129-133
• [Journal Article] Generalized uncertainty relation associated with a monotone or anti-monotone pair skew information (2012)
  • Author(s): Kenjiro Yanagi and Satoshi Kajihara
  • Journal Title: Research and Communications in Mathematics and Mathematical Sciences Volume: vol.1, no.1 Pages: 1-18
  • NAID: 110009534747
  • Peer Reviewed
• [Journal Article] Schrodinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation Measure (2012)
  • Author(s): Shigeru Furuichi and Kenjiro Yanagi
  • Journal Title: Journal of Mathematical Analysis and Application Volume: vol.388, no.2 Pages: 1147-1156
  • Peer Reviewed
• [Journal Article] Schrodinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure (2012)
  • Author(s): Shigeru Furuichi
  • Journal Title: Journal of Mathematical Analysis and Application Volume: 388 Pages: 1147-1156
  • Peer Reviewed
• [Journal Article] Generalized uncertainty relation associated with a monotone or an anti-monotone pair skew information (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Research and Communications in Mathematics and Mathematical Sciences Volume: 1 Pages: 1-18
  • NAID: 110009534747
  • Peer Reviewed
• [Journal Article] Monotone pair 歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of 35th Symposium on Information Theory and its Application Volume: 35 Pages: 129-133
• [Journal Article] 一般化された歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 2012 実解析学シンポジウム報告集 Volume: 44 Pages: 99-104
• [Journal Article] Wigner-Yanase-Dyson skew information の一般化と関連する trace 不等式について (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1819 Pages: 171-182
• [Journal Article] Monotone 又は anti-monotone pair skew information に関連した不確定性関係の一般化について (2012)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1820 Pages: 130-137
• [Journal Article] Skew information に関するシュレディンガー型の不確定性関係 (2011)
  • Author(s): Shigeru Furuichi and Kenjiro Yanagi
  • Journal Title: Proceedings of the 34 th Symposium on Information Theory and its Applications Volume: vol.34 Pages: 423-426
  • NAID: 120006665749
• [Journal Article] Metric adjusted skew information, metric adjusted correlation measure and uncertainty relation (2011)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 実解析学シンポジウム報告集 Volume: vol.43 Pages: 64-68
• [Journal Article] Some inequalities of generalized Wigner-Yanase skew informations (2011)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Proceedings of the International Symposium on Banach and Function Spaces III Pages: 317-324
  • Peer Reviewed
• [Journal Article] Metric adjusted skew information and metric adjusted correlation measure (2011)
  • Author(s): Kenjiro Yanagi and Shigeru Furuichi
  • Journal Title: Advances in Intelligent and soft Computing Volume: vol.100, no.2 Pages: 888-892
  • Peer Reviewed
• [Journal Article] Variability regions for certain families of harmonic univalent mappings (2011)
  • Author(s): S.Ponnusamy and H.Yamamoto and Hiroshi Yanagihara
  • Journal Title: Complex Variables and Elliptic Equations Volume: vol.57 Pages: 1-12
  • Peer Reviewed
• [Journal Article] Metric adjusted skew information and uncertainty relation (2011)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Journal of Mathematical Analysis and Application Volume: 380 Pages: 888-892
  • NAID: 120002971050
  • Peer Reviewed
• [Journal Article] Metric adjusted skew information and metric adjuted correlation measure (2011)
  • Author(s): Kenjiro Yanagi
  • Journal Title: Advances in Intelligent and Soft Computing Volume: 100 Pages: 317-324
  • Peer Reviewed
• [Journal Article] Skew information に関するシュレディンガー型の不確定性関係 (2011)
  • Author(s): Shigeru Furuichi
  • Journal Title: Proceedings of the 34th Symposium on Information Theory and its Application Volume: 34 Pages: 423-426
  • NAID: 120006665749
• [Journal Article] Metric adjusted skew information, metric adjusted correlation measure and uncertainty relation (2011)
  • Author(s): Kenjiro Yanagi
  • Journal Title: 2011 実解析シンポジウム報告集 Volume: 43 Pages: 64-68
• [Presentation] 一般化歪情報量の非エルミート拡張と不確定性関係 (2014)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 学習院大学(東京都豊島区)
  • Year and Date: 2014-03-18
• [Presentation] 対数平均の上界と下界について (2014)
  • Author(s): 古市 茂, 柳 研二郎
  • Organizer: 第17回環瀬戸内応用数理研究部会シンポジウム
  • Place of Presentation: 愛媛大学(松山市)
  • Year and Date: 2014-01-11
• [Presentation] 不確定性関係の非エルミート拡張について (2014)
  • Author(s): 柳 研二郎
  • Organizer: 京都大学数理解析研究所・研究集会「不確実さと曖昧さの数理」
  • Place of Presentation: 京都大学(京都市)
  • Year and Date: 2014-01-09
• [Presentation] Non-hermitian extension of uncertainty relation (2013)
  • Author(s): Kenjiro Yanagi
  • Organizer: The International Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: National Sun Yat-sen University(Kaohsiung, Taiwan)
  • Year and Date: 2013-12-20
• [Presentation] ある補助平均函数の凹性と一般化歪情報量の不確定性関係 (2013)
  • Author(s): 柳 研二郎, 古市 茂, 栗山 憲
  • Organizer: 第36回情報理論とその応用シンポジウム
  • Place of Presentation: 伊東ホテル聚楽(伊東市)
  • Year and Date: 2013-11-28
• [Presentation] Wigner-Yanase-Dyson 歪情報量に関連した不確定性関係 (2013)
  • Author(s): 柳 研二郎
  • Organizer: 作用素論・作用素環論研究集会
  • Place of Presentation: お茶の水女子大学(東京都文京区)
  • Year and Date: 2013-11-24
• [Presentation] ある補助平均函数の凹性とその応用 (2013)
  • Author(s): 柳 研二郎, 古市 茂, 栗山 憲
  • Organizer: 実解析学シンポジウム
  • Place of Presentation: 岡山大学(岡山市)
  • Year and Date: 2013-11-04
• [Presentation] 一般化歪情報量に関する不確定性関係 (2013)
  • Author(s): 柳 研二郎, 古市 茂, 栗山 憲
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 愛媛大学(松山市)
  • Year and Date: 2013-09-27
• [Presentation] Generalizations of uncertainty relations with skew information (2013)
  • Author(s): Kenjiro Yanagi, Shigeru Furuichi and Ken Kuriyama
  • Organizer: The 8 th International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: 弘前大学(弘前市)
  • Year and Date: 2013-08-03
• [Presentation] Generalizations of uncertainty relations with skew information (2013)
  • Author(s): Kenjiro Yanagi
  • Organizer: The 8th International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: 弘前大学（弘前市）
  • Invited
• [Presentation] 一般化歪情報量に関する不確定性関係 (2013)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会
  • Place of Presentation: 愛媛大学（松山市）
• [Presentation] Concavity of an auxiliary mean function and its application (2013)
  • Author(s): 柳 研二郎
  • Organizer: 実解析学シンポジウム
  • Place of Presentation: 岡山大学（岡山市）
• [Presentation] Wigner-Yanase-Dyson 歪情報量に関連した不確定性関係 (2013)
  • Author(s): 柳 研二郎
  • Organizer: 作用素論・作用素環論研究集会
  • Place of Presentation: お茶の水女子大学（東京都文京区）
  • Invited
• [Presentation] ある補助平均函数の凹性と一般化歪情報量の不確定性関係 (2013)
  • Author(s): 柳 研二郎
  • Organizer: 情報理論とその応用シンポジウム
  • Place of Presentation: 伊東ホテル聚楽（伊東市）
• [Presentation] Non-hermitian extension of uncertainty relation (2013)
  • Author(s): Kenjiro Yanagi
  • Organizer: The International Conference on Nonlinear Analysis and Optimization
  • Place of Presentation: 台湾・中山大学（台湾・高雄市）
• [Presentation] Monotone pair 歪情報量についての不確定性関係 (2012)
  • Author(s): 柳 研二郎
  • Organizer: 第35回情報理論とその応用シンポジウム
  • Place of Presentation: 別府湾ロイヤルホテル(大分県速見郡日出町)
  • Year and Date: 2012-12-12
• [Presentation] Review of capacity of Gaussian channel with or without feedback (2012)
  • Author(s): 柳 研二郎
  • Organizer: 京都大学数理解析研究所・研究集会「函数解析学による一般化エントロピーの新展開」
  • Place of Presentation: 京都大学(京都市)
  • Year and Date: 2012-11-13
• [Presentation] 一般化された歪情報量についての不確定性関係 (2012)
  • Author(s): 柳 研二郎
  • Organizer: 実解析学シンポジウム
  • Place of Presentation: 茨城大学(水戸市)
  • Year and Date: 2012-10-28
• [Presentation] 量子情報理論のすすめ-古典情報から量子情報へ- (2012)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会企画特別講演
  • Place of Presentation: 九州大学(福岡市)
  • Year and Date: 2012-09-20
• [Presentation] Generalized metric adjusted skew information and uncertainty relation (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: International Symposium on Banach and Function Spaces
  • Place of Presentation: 九州工業大学(北九州市)
  • Year and Date: 2012-09-14
• [Presentation] Monotone pair skew information に関連した不確定性関係の一般化 (2012)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 東京理科大学(東京都新宿区)
  • Year and Date: 2012-03-27
• [Presentation] Trace inequalities related to generalized uncertainty relations (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: International Workshop on Anomalous Statistics, Generalized Entropies and Information Geometry
  • Place of Presentation: 奈良女子大学(奈良市)
  • Year and Date: 2012-03-08
• [Presentation] Generalized metric adjusted skew information and uncertainty relation (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: International Symposium on Banach and Function Spaces
  • Place of Presentation: 九州工業大学
• [Presentation] 量子情報理論のすすめ―古典情報から量子情報へ－ (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: 日本数学会企画特別講演
  • Place of Presentation: 九州大学
  • Invited
• [Presentation] 一般化された歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: 2012 実解析学シンポジウム
  • Place of Presentation: 茨城大学
• [Presentation] Reviews of capacity of Gaussian channels with or without feedback (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: 京都大学数理解析研究所・研究集会
  • Place of Presentation: 京都大学
• [Presentation] Monotone pair 歪情報量についての不確定性関係 (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: 第35回情報理論とその応用シンポジウム
  • Place of Presentation: 別府湾ロイヤルホテル
• [Presentation] Trace inequalities related to generalized uncertainty relations (2012)
  • Author(s): Kenjiro Yanagi
  • Organizer: International Workshop on Anomalous Statistics, Generalized Entropies and Information Geometry(招待講演)
  • Place of Presentation: 奈良市・奈良女子大学
• [Presentation] Monotone pair skew information に関連した不確定性関係の一般化 (2012)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 東京都新宿区・東京理科大学
• [Presentation] Monotone 又は anti-monotone pair skew information に関連した不確定性関係の一般化について (2011)
  • Author(s): 柳 研二郎, 梶原 聡
  • Organizer: 京都大学数理解析研究所・研究集会「独立性と従属性の数理-代数と確率の出会い-」
  • Place of Presentation: 京都大学(京都市)
  • Year and Date: 2011-12-21
• [Presentation] Skew information に関するシュレディンガー型の不確定性関係 (2011)
  • Author(s): 古市 茂, 柳 研二郎
  • Organizer: 第34回情報理論とその応用シンポジウム
  • Place of Presentation: ホテル森の風鶯宿(岩手県岩手郡雫石町)
  • Year and Date: 2011-12-01
• [Presentation] Metric adjusted skew information, metric adjusted correlation measure and uncertainty relations (2011)
  • Author(s): 柳 研二郎
  • Organizer: 実解析学シンポジウム
  • Place of Presentation: 信州大学(長野市)
  • Year and Date: 2011-11-05
• [Presentation] Metric adjusted skew information とmetric adjusted correlation measureに関連した不確定性関係 (2011)
  • Author(s): 柳 研二郎, 古市 茂
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 信州大学(松本市)
  • Year and Date: 2011-09-30
• [Presentation] Metric adjusted skew information and metric adjusted correlation measure (2011)
  • Author(s): Kenjiro Yanagi, Shigeru Furuichi
  • Organizer: International Conference on Nonlinear Mathematics for Uncertainty and its Applications
  • Place of Presentation: Beijing University of Technology(Beijing, China)
  • Year and Date: 2011-09-09
• [Presentation] Trace inequalities on quantum Fisher information (2011)
  • Author(s): Kenjiro Yanagi
  • Organizer: The Seventh International Conference on Nonlinear Analysis and Convex Analysis
  • Place of Presentation: Pukyong National University (Pusan, Korea)
  • Year and Date: 2011-08-03
• [Presentation] Uncertainty relations for metric adjusted skew information and correlation measure (2011)
  • Author(s): Shigeru Furuichi, Kenjiro Yanagi
  • Organizer: The 22 nd International Workshop on Operator Theory and its Applications
  • Place of Presentation: University of Sevilla (Sevilla, Spain)
  • Year and Date: 2011-07-05
• [Presentation] Uncertainty relation for metric adjusted skew information and correlation measure (2011)
  • Author(s): Shigeru Furuichi
  • Organizer: The 22nd International Workshop on Operator Theory and its Applications
  • Place of Presentation: スペイン・セビリア・セビリア大学
• [Presentation] Trace inequlaities on quantum Fisher information (2011)
  • Author(s): Kenjiro Yanagi
  • Organizer: The Seventh International Conference on Nonlinear Analysis and Convex Analysis(招待講演)
  • Place of Presentation: 韓国・プサン・釜浦大学
• [Presentation] Metric adjusted skew information and metric adjusted correlation measure (2011)
  • Author(s): Kenjiro Yanagi
  • Organizer: International Conference on Nonlinear Mathematics for Uncertainty and its Applications
  • Place of Presentation: 中国・北京・北京工業大学
• [Presentation] Metric adjusted skew information と metric adjusted correlation measure に関連した不確定性関係 (2011)
  • Author(s): 柳 研二郎
  • Organizer: 日本数学会函数解析学分科会
  • Place of Presentation: 松本市・信州大学
• [Presentation] Metric adjusted skew information, metric adjusted correlation measure and uncertainty relations (2011)
  • Author(s): 柳 研二郎
  • Organizer: 2011実解析学シンポジウム
  • Place of Presentation: 長野市・信州大学
• [Presentation] Skew information に関するシュレディンガー型の不確定性関係 (2011)
  • Author(s): 古市 茂
  • Organizer: 第３４回情報理論とその応用シンポジウム
  • Place of Presentation: 岩手県岩手郡雫石町・ホテル森の風の鶯宿
• [Presentation] Monotone 又は anti-monotone pair skew information に関連した不確定性関係の一般化について (2011)
  • Author(s): 柳 研二郎
  • Organizer: 京都大学数理解析研究所・研究集会「独立性と従属性の数理－代数と確率の出会い－」
  • Place of Presentation: 京都市・京都大学
• [Book] 線形代数概論 (2011)
  • Author(s): 加藤 幹雄, 柳 研二郎
  • Total Pages: 167
  • Publisher: サイエンス社
• [Book] 線形代数概論 (2011)
  • Author(s): 加藤 幹雄
  • Total Pages: 168
  • Publisher: サイエンス社
• [Remarks]
  • URL: http://ds0.cc.yamaguchi-u.ac.jp/~yanagi/index.html
• [Remarks] 応用数学研究室ホームページ
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• [Remarks]
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