Quantum Information Theory: Concepts and Methods

Joseph M. Renes

Published by De Gruyter Oldenbourg 2022

Quantum Information Theory

Concepts and Methods

Joseph M. Renes

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110570250

Overview
Contents

About this book

If the carriers of information are governed by quantum mechanics, new principles for information processing apply. This graduate textbook introduces the underlying mathematical theory for quantum communication, computation, and cryptography. A focus lies on the concept of quantum channels, understanding fi gures of merit, e.g. fidelities and entropies in the quantum world, and understanding the interrelationship of various quantum information processing protocols.

A concise introduction to the theory and mathematical formalism.
Use of the uncertainty principle in quantum communication and cryptography.
Development of figures of merit via semidefinite programming.
Contains over 200 instructive problems.

Author / Editor information

Dr. Joseph M. Renes

Graduated in physics from Caltech in 1999 before pursuing research in quantum information theory at the University of New Mexico. He was awarded the PhD in physics in 2004 and habilitated at TU Darmstadt in 2011. He then joined ETH Zürich, where he is currently a Senior Scientist.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XI
List of Figures Publicly Available Download PDF	XIX
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Part I: Formalism of probability and quantum theory
2 Probability theory Requires Authentication Unlicensed Licensed Download PDF	17
3 Classical channels Requires Authentication Unlicensed Licensed Download PDF	36
4 Quantum probability theory Requires Authentication Unlicensed Licensed Download PDF	44
5 Quantum channels Requires Authentication Unlicensed Licensed Download PDF	60
6 Purification Requires Authentication Unlicensed Licensed Download PDF	77
7 Quantum mysteries Requires Authentication Unlicensed Licensed Download PDF	93
Part II: Resource measures
8 Basic resources Requires Authentication Unlicensed Licensed Download PDF	105
9 Discriminating states and channels Requires Authentication Unlicensed Licensed Download PDF	123
10 Fidelity Requires Authentication Unlicensed Licensed Download PDF	140
11 Optimal and pretty good receivers Requires Authentication Unlicensed Licensed Download PDF	154
12 Entropy Requires Authentication Unlicensed Licensed Download PDF	167
13 Uncertainty relations Requires Authentication Unlicensed Licensed Download PDF	185
Part III: Information processing protocols
14 Data compression Requires Authentication Unlicensed Licensed Download PDF	197
15 Classical communication over noisy channels Requires Authentication Unlicensed Licensed Download PDF	208
16 Information reconciliation Requires Authentication Unlicensed Licensed Download PDF	223
17 Entanglement distillation Requires Authentication Unlicensed Licensed Download PDF	230
18 Randomness extraction Requires Authentication Unlicensed Licensed Download PDF	236
19 Quantum error correction Requires Authentication Unlicensed Licensed Download PDF	241
20 Quantum key distribution Requires Authentication Unlicensed Licensed Download PDF	257
A The postulates of quantum mechanics Requires Authentication Unlicensed Licensed Download PDF	273
B Vectors and operators Requires Authentication Unlicensed Licensed Download PDF	275
C Semidefinite programs Requires Authentication Unlicensed Licensed Download PDF	289
Bibliography Requires Authentication Unlicensed Licensed Download PDF	295
Index of symbols Requires Authentication Unlicensed Licensed Download PDF	309
Index Requires Authentication Unlicensed Licensed Download PDF	313

(Deutsch)

Language: English
Publisher: De Gruyter Oldenbourg
Audience: Students in Physics, Computer Science and Electrical Engineering.
Pages
- Front matter: 20
- Main content: 316
Illustrations
- Illustrations: 20
Keywords: Quantum Computer; Quantum Information; Quantum Theory

eBook

Published: August 1, 2022
ISBN: 9783110570250

Paperback

Published: August 1, 2022
ISBN: 9783110570243