Quantum Information Theory

This graduate textbook provides a§unified view of quantum information theory. Clearly explaining the necessary§mathematical basis, it merges key topics from both information-theoretic and quantum-§mechanical viewpoints and provides lucid§explanations of the basic results. Thanks to this unified approach, it makes§accessible such advanced topics in quantum communication as quantum§teleportation, superdense coding, quantum state transmission (quantum§error-correction) and quantum encryption.§Since the publication of the§preceding book Quantum Information: An Introduction , there have been§tremendous strides in the field of quantum information. In particular, the following§topics - all of which are addressed here - made seen major advances: quantum§state discrimination, quantum channel capacity, bipartite and multipartite§entanglement, security analysis on quantum communication, reverse Shannon§theorem and uncertainty relation.§With regard to the analysis of§quantum security, the present book employs an improved method for the§evaluation of leaked information and identifies a remarkable relation between§quantum security and quantum coherence. Taken together, these two improvements§allow a better analysis of quantum state transmission. In addition, various§types of the newly discovered uncertainty relation are explained.§Presenting a wealth of new§developments, the book introduces readers to the latest advances and challenges§in quantum information.§To aid in understanding, each§chapter is accompanied by a set of exercises and solutions.§