Quantum Information

1990-1994 Faculty of Science, Kyoto Univ. 1994-1996 Master course, Depart of Mathematics, Graduate School of Science, Kyoto Univ. 1996-1999 Doctor course, Depart of Mathematics, Graduate School of Science, Kyoto Univ. 1999 March Ph. D. in Mathematics 1998-2000 Research Fellow of the Japan Society for the Promotion of Science. 2000-2003 Researcher Lab. for Mathematical Neuroscience (Amari's Lab.), Brain Science Institute, RIKEN 2003- Head of Research Section ERATO, Quantum Computation and Information Project, Japan Science and Technology Agency (JST) 2004- Adjunct Associate Professor Graduate School of Information Science and Technology The University of Tokyo Editorial Bord, International Journal of Quantum Information, World Scientific (2002-). Guest Editor, Special Issue of EQIS'03 conference in International Journal of Quantum Information. Editor of "Asymptotic Theory of Quantum Statistical Inference: Selected papers" published by World Scientific, 542 pages (2005).

Prologue.- Mathematical Formulation of Quantum Systems.- Information Quantities and Parameter Estimation in Classical Systems.- Quantum Hypothesis Testing and Discrimination of Quantum States.- Classical-Quantum Channel Coding (Message Transmission).- State Evolution and Trace-Preserving Completely Positive Maps.- Quantum Information Geometry and Quantum Estimation.- Quantum Measurements and State Reduction.- Entanglement and Locality Restrictions.- Analysis of Quantum Communication Protocols.- Source Coding in Quantum Systems.

From the reviews:

"The book under review is, without a doubt, the most comprehensive textbook to date on quantum information theory. ... This comprehensive and theorem-heavy approach makes the book a valuable reference for those working in the field of quantum information. ... This book could be used in a graduate course in quantum information theory ... . an extremely helpful work, and I am glad that it is available." (Todd A. Brun, Mathematical Reviews, Issue 2007 b)