Theory of quantum information with memory / Mou-Hsiung Chang.

Format:

Book

Author/Creator:

Chang, Mou-Hsiung, author.

Language:

English

Subjects (All):

Information theory.

Physical Description:

1 online resource (502 pages)

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH, [2022]

Summary:

This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics. The book confronts many unprecedented theoretical challenges generated by infi nite dimensionality and memory effects in quantum communication. The book will also equip readers with all the required mathematical tools to understand these essential questions.

Contents:

Frontmatter

Preface

Introduction

Contents

1 Basic notation and preliminaries

2 Formulation of quantum systems

3 Probability measures and convex functions on S(ℍ)

4 Completely positive maps

5 Quantum channels and operations

6 Approximation and convergence of quantum channels

7 von Neumann entropy

8 Relative and conditional entropies

9 Channel output entropies

10 Quantum entanglement

11 Quantum mutual and coherent information

12 Holevo χ-capacity

13 Classical capacities of memoryless channels

14 Structure of quantum memory channels

15 Channels with Markovian memory

16 Channels with long-term memory

Bibliography

Index

Notes:

Description based on print version record.

ISBN:

3-11-078810-1

OCLC:

1340957808