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

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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 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.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023)