HANSEN FRANK HANSEN FRANK

Researcher Number	00600678
Other IDs
Affiliation (based on the past Project Information) *help	2014 – 2018: 東北大学, 高度教養教育・学生支援機構, 教授 2011 – 2013: 東北大学, 国際教育院, 准教授
Review Section/Research Field	Principal Investigator Basic analysis / Global analysis
Keywords	Principal Investigator 量子情報 / operator inequality / quantum information / non-commutativity / convexity / trace function / statistical mechanics / geodesic convexity / concave trace function / regular operator mapping … More / trace inequality / matrix entropy / Golden Thompon's ineq. / partial trace / perspective / geometric mean / regular operator map / GT-inequality / quantum entropy / Rao's inequality / geometric means / Quantum entropy / Statistical mechanics / Quantum information / Golden Thompson's ineq. / 単調および凸作用素関数 / 作用素環 / operator convex function / 関数解析（含作用素論・表現論） Less

Research Projects
(3 results)
Research Products
(50 results)

Mathematical aspects of quantum statistical physics and quantum information theoryPrincipal Investigator
- Principal Investigator
  
  HANSEN FRANK
- Project Period (FY)
  2017 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Trace functionals and operator inequalities with applications in quantum informationPrincipal Investigator
- Principal Investigator
  
  Frank Hansen
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Monotone and convex operator functions with applications in quantum information and mathematical physicsPrincipal Investigator
- Principal Investigator
  
  HANSEN FRANK
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University

All 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Convex multivariate operator means2019
- Author(s)
  Hansen Frank
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 564 Pages: 209-224
- DOI
  10.1016/j.laa.2018.11.032
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05267
[Journal Article] Variational representations related to Tsallis relative entropy2019
- Author(s)
  Hansen Frank and Guanghua Shi
- Journal Title
  
  arXiv: 1901.06807
  
  Volume: 1 Pages: 1-15
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05267
[Journal Article] Operator maps of Jensen-type2018
- Author(s)
  Hansen Frank、Moslehian Mohammad Sal、Najafi Hamed
- Journal Title
  
  Positivity
  
  Volume: Not assigned Issue: 5 Pages: 1-8
- DOI
  10.1007/s11117-018-0571-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05267
[Journal Article] An inequality for expectations of means of positive random variables2017
- Author(s)
  Paolo Gibilisco and Frank Hansen
- Journal Title
  
  Annals of Functional Analysis
  
  Volume: 8 Pages: 142-151
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Peierls?Bogolyubov’s Inequality for Deformed Exponentials2017
- Author(s)
  Hansen Frank、Liang Jin、Shi Guanghua
- Journal Title
  
  Entropy
  
  Volume: 19 Issue: 6 Pages: 271-271
- DOI
  10.3390/e19060271
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05267
[Journal Article] Perspectives and completely positive maps2017
- Author(s)
  Frank Hansen
- Journal Title
  
  Annals of Functional Analysis
  
  Volume: 8 Pages: 168-176
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] A note on quantum entropy2016
- Author(s)
  Frank Hansen
- Journal Title
  
  Mathematical Physics, Analysis and Geometry
  
  Volume: 19 Issue: 2 Pages: 1-4
- DOI
  10.1007/s11040-016-9213-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Perspectives and partial traces2016
- Author(s)
  Frank Hansen
- Journal Title
  
  Arxiv 1601.06723
  
  Volume: 1601 Pages: 1-18
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Quantum entropy derived from first principles2016
- Author(s)
  Frank Hansen
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 165 Issue: 5 Pages: 799-808
- DOI
  10.1007/s10955-016-1651-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Golden-Thomson's inequality for deformed exponentials2015
- Author(s)
  Frank Hansen
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 159 Issue: 6 Pages: 1-6
- DOI
  10.1007/s10955-015-1237-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] A note on quantum entropy2015
- Author(s)
  Frank Hansen
- Journal Title
  
  Arxiv 1511.09189
  
  Volume: 1511 Pages: 1-5
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Characterisation of matrix entropies2015
- Author(s)
  Frank Hansen and Zhihua Zhang
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 105 Issue: 10 Pages: 1399-1411
- DOI
  10.1007/s11005-015-0784-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Multivariate extensions of the Golden-Thompson inequality2014
- Author(s)
  Frank Hansen
- Journal Title
  
  ArXiv
  
  Volume: 1406 Pages: 1-12
- Open Access
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Trace functions with applications in quantum physics2014
- Author(s)
  Frank Hansen
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 154(3) Issue: 3 Pages: 807-818
- DOI
  10.1007/s10955-013-0890-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] Regular operator mappings and multivariate geometric means2014
- Author(s)
  Frank Hansen
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 461 Pages: 123-138
- DOI
  10.1016/j.laa.2014.07.031
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400104
[Journal Article] Non-commutative perspectives2014
- Author(s)
  Edward Effros and Frank Hansen
- Journal Title
  
  Annals of Functional Analysis
  
  Volume: 5(2) Pages: 74-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] The fast track to Löwner' s theorem2013
- Author(s)
  Frank Hansen
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 438 Pages: 4557-457
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] The fast track to Loewner's theorem2013
- Author(s)
  Frank Hansen
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 438 Issue: 11 Pages: 4557-4571
- DOI
  10.1016/j.laa.2013.01.022
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] WYD-like skew information measures2013
- Author(s)
  Frank Hansen
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 151(5) Issue: 5 Pages: 974-979
- DOI
  10.1007/s10955-013-0737-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] The fast track to Loewner's theorem2012
- Author(s)
  Frank Hansen
- Journal Title
  
  arXiv:1112
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] Expected utility with subjective events2012
- Author(s)
  Frank Hansen, Jacob Gyntelberg
- Journal Title
  
  The Australian Journal of Mathematical Analysis and Applications
  
  Volume: 9 Pages: 1-21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] Expected utility with subjective events2012
- Author(s)
  Frank Hansen
- Journal Title
  
  The Australian Journal of Mathematical Analysis and Applications
  
  Volume: 9(2), article 7 Pages: 1-21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Journal Article] Convexity of quantum chi-square-divergence2011
- Author(s)
  Frank Hansen
- Journal Title
  
  Proceedings of the National Academy of Sciences USA 108
  
  Volume: No. 25 Issue: 25 Pages: 10078-10080
- DOI
  10.1073/pnas.1106423108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Multivariate convex operator means2018
- Author(s)
  Frank Hansen
- Organizer
  7th International Conference on Matrix Analysis and Applications
- Invited
- Data Source
  KAKENHI-PROJECT-17K05267
[Presentation] The entropic hyper-mean2018
- Author(s)
  Frank Hansen
- Organizer
  2018 workshop on operator theory
- Invited
- Data Source
  KAKENHI-PROJECT-17K05267
[Presentation] Quantum entropy derived from first principles2018
- Author(s)
  Frank Hansen
- Organizer
  XIX International Congress on Matrix Analysis and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05267
[Presentation] Peierls-Bogolyubov's inequality for deformed exponentials2017
- Author(s)
  Frank Hansen
- Organizer
  21. th conference on the International Linear Algebra Society
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05267
[Presentation] Peierls-Bogolyubov's inequality for deformed exponentials2017
- Author(s)
  Frank Hansen
- Organizer
  The 2017 International Conference on Matrix Inequalities
- Invited
- Data Source
  KAKENHI-PROJECT-17K05267
[Presentation] Matrix inequalities and operator means of several variables2016
- Author(s)
  Frank Hansen
- Organizer
  The 20th conference of the International Linear Algebra Society
- Place of Presentation
  KU Leuven, Belgium
- Year and Date
  2016-07-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Quantum entropy derived from first principles2016
- Author(s)
  Frank Hansen
- Organizer
  Conference on the research of geometric structures in quantum information based on operator theory and related topics
- Place of Presentation
  Kyoto, Japan
- Year and Date
  2016-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Quantum entropy derived from first principles2016
- Author(s)
  Frank Hansen
- Organizer
  International conference on Information Theory and its Applications IGAIA IV
- Place of Presentation
  Liblice, Check Republic
- Year and Date
  2016-06-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Inequalities for quantum channels2016
- Author(s)
  Frank Hansen
- Organizer
  Aspects of Current Quantum Information Theory (MAQIT)
- Place of Presentation
  Daejeon, Korea
- Year and Date
  2016-02-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Characterisation of matrix entropies2015
- Author(s)
  Frank Hansen
- Organizer
  International Congress of Mathematical Physics
- Place of Presentation
  Santiago, Chile
- Year and Date
  2015-07-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Golden-Thompson's inequality for deformed exponentials2015
- Author(s)
  Frank Hansen
- Organizer
  International Congress of Mathematical Physics
- Place of Presentation
  Santiago, Chile
- Year and Date
  2015-07-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Regular operator mappings and multivariate geometric means2014
- Author(s)
  Frank Hansen
- Organizer
  International conference of the International Linear Algebra Society
- Place of Presentation
  Seoul, South Korea
- Year and Date
  2014-08-06
- Invited
- Data Source
  KAKENHI-PROJECT-26400104
[Presentation] Convex trace functions with applications in quantum physics2013
- Author(s)
  Frank Hansen
- Organizer
  第44回 Annual Iranian Mathematics Conference
- Place of Presentation
  イラン, マシャード
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Convex trace functions with applications in quantum physics2013
- Author(s)
  Frank Hansen
- Organizer
  Entropy in Quantum Mechanics: Recent Advances
- Place of Presentation
  Paris, France
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Convex trace functions with applications in quantum physics2013
- Author(s)
  Frank Hansen
- Organizer
  Entropy in Quantum Mechanics: Recent advances
- Place of Presentation
  フランス, パリ
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Convex trace functions with applications in quantum physics2013
- Author(s)
  Frank Hansen
- Organizer
  The 44th Annual Iranian Mathematics Conference
- Place of Presentation
  Mashhad, Iran
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Löwner's theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Conference on Anomalous Statistics, Generalized Entropies, and Information Geometry
- Place of Presentation
  奈良, 日本
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Löwner's theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Conference on Positive matrices and operators : Recent developments and advances
- Place of Presentation
  ダエグ, 漢国
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Loewner's theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Conference on Positive Matrices and Operators: Recent advances
- Place of Presentation
  Daegu, South Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Convexity of quantum information functionals2012
- Author(s)
  Frank Hansen
- Organizer
  12th International Congress of Mathematical Physics
- Place of Presentation
  Aalborg, デンマーク
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Recent advances in the theory of operator monotone functions with applications in physics2012
- Author(s)
  Frank Hansen
- Organizer
  Workshop on Operator Theory and Operator Algebras
- Place of Presentation
  大阪, 日本
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Loewner’s theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Anomalous Statistics, Generalized Entropies, and Information Geometry(招待講演)
- Place of Presentation
  Nara, Japan
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Löwner's theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Workshop on Operator Theory and Operator Algebras
- Place of Presentation
  仙台, 日本
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Recent advances in the theory of operator monotone functions with applications in physics2012
- Author(s)
  Frank Hansen
- Organizer
  Workshop on Operator Theory and Operator Algebras
- Place of Presentation
  Osaka, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] The fast track to Loewner’s theorem2012
- Author(s)
  Frank Hansen
- Organizer
  Workshop on Operator Theory and Operator Algebras(招待講演)
- Place of Presentation
  Sendai, Japan
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Convexity of quantum information functionals2012
- Author(s)
  Frank Hansen
- Organizer
  12th International Congress of Mathematical Physics
- Place of Presentation
  Aalborg, Denmark
- Invited
- Data Source
  KAKENHI-PROJECT-23540231
[Presentation] Regular operator mappings and multivariate geometric means
- Author(s)
  Frank Hansen
- Organizer
  International conference on the theory of operator means and related topics
- Place of Presentation
  RIMS, Kyoto
- Year and Date
  2014-09-26 – 2014-09-28
- Invited
- Data Source
  KAKENHI-PROJECT-26400104

HANSEN FRANK HANSEN FRANK

Research Projects

Research Products

Mathematical aspects of quantum statistical physics and quantum information theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Trace functionals and operator inequalities with applications in quantum informationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Monotone and convex operator functions with applications in quantum information and mathematical physicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Convex multivariate operator means2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Variational representations related to Tsallis relative entropy2019

Author(s)

Journal Title

Data Source

[Journal Article] Operator maps of Jensen-type2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An inequality for expectations of means of positive random variables2017

Author(s)

Journal Title

Data Source

[Journal Article] Peierls?Bogolyubov’s Inequality for Deformed Exponentials2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Perspectives and completely positive maps2017

Author(s)

Journal Title

Data Source

[Journal Article] A note on quantum entropy2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Perspectives and partial traces2016

Author(s)

Journal Title

Data Source

[Journal Article] Quantum entropy derived from first principles2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Golden-Thomson's inequality for deformed exponentials2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on quantum entropy2015

Author(s)

Journal Title

Data Source

[Journal Article] Characterisation of matrix entropies2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Multivariate extensions of the Golden-Thompson inequality2014

Author(s)

Journal Title

Data Source