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Theory of Quantum Information with Memory

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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 infinite dimensionality and memory effects in quantum communication. The book will also equip readers with all the required mathematical tools to understand these essential questions.

Author(s): Mou-Hsiung Chang
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 502
City: Berlin

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