Quantum Information: An Introduction
This graduate-level textbook provides a unified viewpoint of quantum information theory that merges key topics from both the information-theoretic and quantum- mechanical viewpoints. The text provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. This unified approach makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption.
Table of contents
Introduction.- 1. Mathematical Formulation of Quantum Systems.- 2. Information Quantities and Parameter Estimation in Classical System.- 3. Quantum Hypothesis Testing and Discrimination of Quantum States.- 4. Classical-Quantum Channel Coding (Message Transmission).- 5. State Evolution and Trace Preserving Completely Positive Maps.- 6. Quantum Information Geometry and Quantum Estimation.- 7. Quantum Measurements and State Reduction.- 8. Entanglement and Locality Restrictions.- 9. Analysis of Quantum Communication Protocols.- 10. Source Coding in Quantum System.- A. Limits and Linear Algebra.- B. Proofs of Theorems and Lemmas.- C. Hints and Brief Solutions to Exercises.