Introduction to Quantum Information Theory SGC Series 32

A graduate-level textbook for learning the fundamentals of quantum information.
There is warping. No writing.

Introduction to Quantum Information Theory
Masato Hayashi
Science Company
Special Issue of Mathematical Sciences, SGC Library 24
2004

《Information from the Publisher》
An invaluable book that explains Quantum Information Theory from fundamentals to cutting-edge topics, assuming only elementary knowledge and using the simplest possible arguments.

Chapter 0: Introduction
Chapter 1: Mathematical Formulation of Quantum Systems
Chapter 2: Information Quantity and Parameter Estimation in Classical Systems
Chapter 3: Quantum Hypothesis Testing and State Discrimination
Chapter 4: Quantum Channel Coding (Message Transmission)
Chapter 5: State Evolution and Complete Positive Maps in Quantum Systems
Chapter 6: Quantum Information Geometry and Quantum Estimation
Chapter 7: Quantum Measurement and State Evolution
Chapter 8: Entanglement and Local Quantum Operations
Chapter 9: Various Forms of Quantum Communication
Chapter 10: Source Coding in Quantum Systems
Appendix: Special Topics on Limits and Linear Algebra
A.1 About Limits
A.2 Singular Value Decomposition and Polar Decomposition of Matrices
A.3 Matrix Norms
A.4 Convex Functions and Matrix Convex Functions
A.5 Proof and Construction of Stinespring Representation and Kraus Representation

Major References
Afterword
List of Symbols
Index