Quantum information theory

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This graduate textbook offers a comprehensive 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 accessible explanations of advanced topics in quantum communication, including quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption. Since the previous publication, significant advancements have been made in areas such as quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis of quantum communication, the reverse Shannon theorem, and the uncertainty relation. The book employs an improved method for evaluating leaked information in quantum security, revealing a notable connection between quantum security and quantum coherence. These enhancements facilitate a better understanding of quantum state transmission. Additionally, various newly discovered uncertainty relations are discussed. With a wealth of new developments, the book introduces readers to the latest challenges and advancements in quantum information. Each chapter is supplemented with exercises and solutions to aid comprehension.