Quantum Systems, Channels, Information: A Mathematical Introduction

Alexander S. Holevo

Published by De Gruyter 2019

Quantum Systems, Channels, Information

A Mathematical Introduction

Alexander S. Holevo

In the series Texts and Monographs in Theoretical Physics

https://doi.org/10.1515/9783110642490

Overview
Contents

About this book

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.

Author / Editor information

Alexander S. Holevo, Steklov Mathematical Institute, Moscow, Russia.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Preface to the Second Edition Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XI
Part I: Basic Structures
1. Vectors and Operators Requires Authentication Unlicensed Licensed Download PDF	3
2. States, Observables, Statistics Requires Authentication Unlicensed Licensed Download PDF	10
3. Composite Systems and Entanglement Requires Authentication Unlicensed Licensed Download PDF	33
Part II: The Primary Coding Theorems
4. Classical Entropy and Information Requires Authentication Unlicensed Licensed Download PDF	55
5. The Classical-Quantum Channel Requires Authentication Unlicensed Licensed Download PDF	71
Part III: Channels and Entropies
6. Quantum Evolutions and Channels Requires Authentication Unlicensed Licensed Download PDF	99
7. Quantum Entropy and Information Quantities Requires Authentication Unlicensed Licensed Download PDF	126
Part IV: Basic Channel Capacities
8. The Classical Capacity of Quantum Channels Requires Authentication Unlicensed Licensed Download PDF	149
9. Entanglement-Assisted Classical Communication Requires Authentication Unlicensed Licensed Download PDF	173
10. Transmission of Quantum Information Requires Authentication Unlicensed Licensed Download PDF	187
Part V: Infinite Systems
11. Channels with Constrained Inputs Requires Authentication Unlicensed Licensed Download PDF	233
12. Gaussian Systems Requires Authentication Unlicensed Licensed Download PDF	255
Bibliography Requires Authentication Unlicensed Licensed Download PDF	337
Index Requires Authentication Unlicensed Licensed Download PDF	348

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: 2nd rev. and expanded ed.
Audience: Researchers in Quantum Information, Computation, and Cryptography. Advanced students in Mathematics and Physics.
Pages
- Front matter: 15
- Main content: 351
Illustrations
- Coloured Illustrations: 40
Keywords: Quantenkanal; Quantencomputer; Quanteninformatik

eBook

Published: July 8, 2019
ISBN: 9783110642490

Hardcover

Published: July 8, 2019
ISBN: 9783110642247