Quantum information geometrical methods in noncommutative statistics

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18340028
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Osaka University
• Principal Investigator: FUJIWARA Akio Osaka University, 大学院・理学研究科, 教授 (30251359)
• Project Period (FY): 2006 – 2009
• Keywords: 情報幾何学 / 非可換統計学

Research Abstract

本研究は, 量子推定理論や量子情報理論の諸問題におけるこれまでの研究成果を統合・発展させ, 非可換統計学における量子情報幾何学的方法の確立をめざすものである.

Research Products

• [Journal Article] A fibre bundle over manifolds of quantum channels and its application to quantum statistics (2008)
  • Author(s): Akio Fujiwara and Hiroshi Imai
  • Journal Title: Journal of Physics A : Mathematical and Theoretical vol.41 Pages: 255304
• [Journal Article] Randomness criteria in terms of α-divergences (2008)
  • Author(s): Akio Fujiwara
  • Journal Title: IEEE Transactions on Information Theory vol.54 Pages: 1252-1261
• [Journal Article] Geometry of optimal estimation scheme for SU(D) channels (2007)
  • Author(s): Hiroshi Imai and Akio Fujiwara
  • Journal Title: Journal of Physics A : Mathematical and Theoretical vol.40 Pages: 4391-4400
• [Presentation] Information geometrical methods in quantum statistics (2008)
  • Author(s): Akio Fujiwara
  • Organizer: The 10th RIES-Hokudai International Symposium on aya
  • Place of Presentation: 北海道大学
  • Year and Date: 2008-12-08
• [Presentation] Fibre bundle over manifolds of quantum channels and its application to quantum statistics (2008)
  • Author(s): Akio Fujiwara
  • Organizer: BSI Forum-Mini Symposium on Information Geometry
  • Place of Presentation: 理化学研究所
  • Year and Date: 2008-05-29
• [Presentation] Fibre bundle over manifolds of quantum channels and its application to quantum statistics (2008)
  • Author(s): Hiroshi Imai and Akio Fujiwara
  • Organizer: GSIS & DEX-SMI Workshop on Quantum Statistical Inference and Entanglement
  • Place of Presentation: 東北大学
  • Year and Date: 2008-02-12