A Quantum Leap in Information Theory

This is an introductory textbook at graduate or advanced undergraduate level. Students with diverse backgrounds, in mathematics, physics and computer science, can use it to become acquainted with the quantum theory of information. Its scope is deliberately chosen to be not too broad, while being self-consistent and usable for a semester-long course for beginners. The subject is presented using a balanced mix of intuitive arguments and rigorous formalism. The emphasis is not on the physical information but rather in the formal and mathematical features of quantum information theory. Only a basic knowledge of algebra is required to understand the contents of this book. In particular, a background in quantum mechanics is not needed, since quantum theory is used as a mere mathematical framework without entering into physical interpretations.

The book introduces all necessary concepts from quantum theory and classical information theory, to cover the elements of quantum Shannon theory: quantum states and channels, data compression and entropy, error correcting codes and channel capacities, as well as the basics of entanglement theory and quantum cryptography.

Examples are provided to help the reader in understanding the different concepts, together with exercises at the end of each chapter.
Contents: PreludeInformation and Entropy: The Classical ViewA Quantum PrimerMixed Quantum StatesInformation and Entropy: The Quantum ViewChannel MapsInterlude: Estimation TheoryData CompressionInformation TransmissionError Correcting CodesChannel CapacitiesEntanglement ManipulationCryptographyAppendix: Fundamentals of Linear AlgebraSolutions to Selected Exercises
Readership: Graduate students and researchers from Mathematics and Communication Engineering. Quantum;Information;Physics0Key Features:Contributions from well-known and high-profile researchers in their respective fieldsEach chapter is self-containedSuitable for researchers or students familiar with a primer on coding or cryptography interested in moving on to advanced topics