Quantum Information Theory

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This graduate textbook offers a unified view of quantum information theory, clearly explaining the necessary mathematical foundations while merging key topics from both information-theoretic and quantum-mechanical perspectives. It provides lucid explanations of essential results and makes advanced topics in quantum communication, such as quantum teleportation, superdense coding, quantum state transmission, and quantum encryption, accessible to readers. Since the previous edition, significant advancements have occurred in areas like quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis in quantum communication, the reverse Shannon theorem, and the uncertainty relation. The book enhances the analysis of quantum security by employing an improved method for evaluating leaked information and establishing a notable connection between quantum security and quantum coherence, leading to a more comprehensive understanding of quantum state transmission. Additionally, it explains various newly discovered uncertainty relations. With a wealth of new developments, the text introduces readers to the latest advances and challenges in quantum information, and each chapter is supported by exercises and solutions to aid comprehension.