1. Mathematical preliminaries; 2. Basic notions of quantum information; 3. Similarity and distance among states and channels; 4. Unital channels and majorization; 5. Quantum entropy and source coding; 6. Bipartite entanglement; 7. Permutation invariance and unitarily invariant measures; 8. Quantum channel capacities; References; List of symbols and notations; Index.
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.