M. Hayashi – Quantum Information Theory. Mathematical Foundation (2017)

Автор: M. Hayashi
Название книги: Quantum Information Theory. Mathematical Foundation (2017)
Формат: PDF
Жанр: Физика
Страницы: 670
Качество: Изначально компьютерное, E-book

This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption.
Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation.
With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained.
Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information.
To aid in understanding, each chapter is accompanied by a set of exercises and solutions.
Contents:
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