Quantum Information Theory: Concepts and Methods

If the carriers of information are governed by quantum mechanics, new principles for information processing apply. This graduate textbook introduces the underlying mathematical theory for quantum communication, computation, and cryptography. A focus lies on the concept of quantum channels, understanding fi gures of merit, e.g. fidelities and entropies in the quantum world, and understanding the interrelationship of various quantum information processing protocols. A concise introduction to the theory and mathematical formalism. Use of the uncertainty principle in quantum communication and cryptography. Development of figures of merit via semidefinite programming. Contains over 200 instructive problems.