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Reading List: It is suggested that all participants do some preliminary reading before coming to the workshop. The following sources will be helpful: 1. R. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Chapters 1,2,3, Chapter 4 Sections 4-6, Chapter 7. 2. R. Horn and C. R. Johnson, Topics in Matrix Analysis Chapter 3, Sections 0-1. 3. R. Bhatia, Positive Definite Matrices, Princeton University Press. (Familiarity with topics covered here will be useful for the Matrix Analysis, and Quantum Information Theory lectures). 4. R Bhatia, Pinching,trimming,truncating and averaging of matrices, paper available on the course website. ------------------------------------------------------------ Useful preparation for the course "Numerical ranges (classical and higher-rank) with applications to quantum information theory" , to be given by John Holbrook during the second week, might include some familiarity with: 1. Gustafson and Rao, "Numerical Range", Springer 1997 2. David W. Kribs, "A quantum computing primer for operator theorists" (may be downloaded from Kribs' publications website) 3. The recent book by Denes Petz, "Quantum Information Theory and Quantum Statistics" (published by Springer) 4. Chi-Kwong Li and Nung-Sing Sze, "Canonical forms, higher rank numerical range, convexity, totally isometric subspace, matrix equations" 2007 (may be downloaded from Li's publication website) ------------------------------------------------------------ References in connection with the lectures by Mary Beth Ruskai on: "Properties of quantum entropy and related concave trace functions" include: "Inequalities for Quantum Entropy: A Review with Conditions for Equality" J. Math. Phys. 43, 4358-4375 (2002); erratum 46, 019901 (2005). (quant-ph/0205064) "Lieb's simple proof of concavity of Tr Ap K† B(1-p) K and remarks on related inequalities" Internat. Jour. Quant. Info 3, 570--590 (2005); erratum 4, 747-748 (2006) quant-ph/0404126 "Another short and elementary proof of strong subadditivity of quantum entropy" Reports on Mathematical Physics 60, 1-12 (2007). quant-ph/0604206 "Unified Treatment of Convexity of Relative Entropy and Related Trace Functions, with Conditions for Equality" submitted for publication [with A. Jencova].arXiv:0903.2895 |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | R. Ramakrishnan (ICTP, Trieste, Italy) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | R. Horn (University of Utah, Salt Lake City UT, USA) |
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Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | M.B. Ruskai (Tufts University, Medford MA, USA) |
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Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | L. Elden (Linkoping University, Linkoping, Sweden) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | R. Horn (University of Utah, Salt Lake City UT, USA) |
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Speaker: | M.B. Ruskai (Tufts University, Medford MA, USA) |
Speaker: | L. Elden (Linkoping University, Linkoping, Sweden) |
Speaker: | D. Kribs (University of Guelph, Guelph ON, Canada) |
Speaker: | M.B. Ruskai (Tufts University, Medford MA, USA) |
Speaker: | V. Simoncini (University of Bologna, Bologna, Italy) |
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Speaker: | L. Elden (Linkoping University, Linkoping, Sweden) |
Speaker: | V. Simoncini (University of Bologna, Bologna, Italy) |
Speaker: | D. Kribs (University of Guelph, Guelph ON, Canada) |
Speaker: | R. Horn (University of Utah, Salt Lake City UT, USA) |
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Speaker: | V. Simoncini (University of Bologna, Bologna, Italy) |
Speaker: | L. Elden (Linkoping University, Linkoping, Sweden) |
Speaker: | V. Simoncini (University of Bologna, Bologna, Italy) |
Speaker: | R. Horn (University of Utah, Salt Lake City UT, USA) |
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Speaker: | D. Kribs (University of Guelph, Guelph ON, Canada) |
Speaker: | M.B. Ruskai (Tufts University, Medford MA, USA) |
Speaker: | D. Kribs (University of Guelph, Guelph ON, Canada) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Speaker: | J. Holbrook (University of Guelph, Guelph ON, Canada) |
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Speaker: | M. Popolizio (University of Bari, Bari, Italy) |
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Speaker: | S. Jayaraman (Chennai Mathematical Institute, Chennai, India) |
Speaker: | T. Sano (Yamagata University, Yamagata, Japan) |
Speaker: | M.N.N. Namboodiri (Cochin University of Science & Technology, Kochi, India) |
Speaker: | J. Holbrook (University of Guelph, Guelph ON, Canada) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Speaker: | J. Holbrook (University of Guelph, Guelph ON, Canada) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Speaker: | J. Holbrook (University of Guelph, Guelph ON, Canada) |
Speaker: | Ana Nata Santos (Polytechnic Institute of Tomar, Tomar, Portugal) |
Speaker: | M. Palfia (Budapest University, Budapest, Hungary) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Speaker: | P. Semrl (University of Ljubljana, Ljubljana, Slovenia) |
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Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Speaker: | R. Bhatia (Indian Statistical Institute, New Delhi, India) |
Speaker: | P. Semrl (University of Ljubljana, Ljubljana, Slovenia) |
Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Speaker: | J. Holbrook (University of Guelph, Guelph ON, Canada) |
Speaker: | P. Semrl (University of Ljubljana, Ljubljana, Slovenia) |
Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Speaker: | S. Serra-Capizzano (University of Insubria, Como, Italy) |
Location: | Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1) |
Speaker: | R. Kannan (Microsoft Research Labs., Bangalore, India) |
Speaker: | H. Kosaki (Kyushu University, Fukuoka, Japan) |
Speaker: | P. Semrl (University of Ljubljana, Ljubljana, Slovenia) |
Speaker: | F. Benatti (University of Trieste, Trieste, Italy) |
Speaker: | X. Zhan (ILAS Lecturer/East China Normal University, Shanghai, China) |
Speaker: | R. Kannan (Microsoft Research Labs., Bangalore, India) |
Speaker: | K. Audenaert (University of London, London, UK) |
Speaker: | D. Petz (Alfréd Rényi Institute of Mathematics, Budapest, Hungary) |
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Speaker: | T. Huckle (Technical University of Munich, Munich, Germany) |
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Speaker: | G. Benenti (University of Insubria, Como, Italy) |
Speaker: | J. Antezana (National University of La Plata, La Plata, Argentina) |
Speaker: | H. Kosaki (Kyushu University, Fukuoka, Japan) |
Speaker: | J. Lawson (Louisiana State University, Baton Rouge, USA) |
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Speaker: | M. Moaker (Ecole Nationale d'Ingénieurs de Tunis, Tunis, Tunisia) |
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Speaker: | Y. Lim (Kyungpook National University, Taegu, Korea) |
Speaker: | C. Manni (University of Rome "Tor Vergata", Rome, Italy) |
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Speaker: | J.S. Aujla (National Institute of Technology, Jalandhar, India) |
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Speaker: | D. A. Bini (University of Pisa, Pisa, Italy) |
Speaker: | R.H. Chan (The Chinese University of Hong Kong, Shatin, Hong Kong) |
Speaker: | Z.-J. Bai (Xiamen University, Xiamen, China) |
Speaker: | V. Mehrmann (Technical University of Berlin, Berlin, Germany) |
Speaker: | B. Iannazzo (University of Perugia, Perugia, Italy) |
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Speaker: | I. Wrobel (Warsaw University of Technology, Warsaw, Poland) |
Speaker: | E. Tyrtishnikov (Russian Academy of Sciences, Moscow, Russia) |
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Speaker: | B. Meini (University of Pisa, Pisa, Italy) |
Speaker: | N. Guglielmi (University of L'Aquila, L'Aquila, Italy) |
Speaker: | J. Zemanek (Polish Academy of Sciences, Warsaw, Poland) |