Quantum Systems, Channels, Information: A Mathematical Introduction

✍ Scribed by Alexander S. Holevo

• Publisher: De Gruyter
• Year: 2019
• Tongue: English
• Leaves: 368
• Edition: 2nd rev. and expanded ed.
• Category: Library

✦ Synopsis

Written by one of the founding fathers of Quantum Information, this book gives an accessible (albeit mathematically rigorous), self-contained introduction to quantum information theory. The central role is played by the concept of quantum channel and its entropic and information characteristics.

In this revised edition, the main results have been updated to reflect the most recent developments in this very active field of research.

• Complete introduction to quantum information, from basic structures to quantum channels and infinite systems.
• Updated with the latest achievements in the field.
• New in this edition: Solution to the "quantum Gaussian optimizers" conjecture.

✦ Table of Contents

Preface
Preface to the Second Edition
Contents
Part I: Basic Structures
1. Vectors and Operators
2. States, Observables, Statistics
3. Composite Systems and Entanglement
Part II: The Primary Coding Theorems
4. Classical Entropy and Information
5. The Classical-Quantum Channel
Part III: Channels and Entropies
6. Quantum Evolutions and Channels
7. Quantum Entropy and Information Quantities
Part IV: Basic Channel Capacities
8. The Classical Capacity of Quantum Channels
9. Entanglement-Assisted Classical Communication
10. Transmission of Quantum Information
Part V: Infinite Systems
11. Channels with Constrained Inputs
12. Gaussian Systems
Bibliography
Index