Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s). This book presents the important and recent results of quantum statistical inference. If focuses on the asymptotic theory, which is one of the...
Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remar...
Recently, the field of quantum computation and information has been developing through a fusion of results from various research fields in theoretical and practical areas. This book consists of the reviews of selected topics charterized by great progress and cover the field from theoretical areas to experimental ones. It contains fundamental areas, quantum query complexity, quantum statistical inference, quantum cloning, quantum entanglement, additivity. It treats three types of quantum security system, quantum public key cryptography, quantum key distribution, and quantum steganography. A...
Recently, the field of quantum computation and information has been developing through a fusion of results from various research fields in theoreti...
Recently, the field of quantum computation and information has been developing through a fusion of results from various research fields in theoretical and practical areas. This book consists of the reviews of selected topics charterized by great progress and cover the field from theoretical areas to experimental ones. It contains fundamental areas, quantum query complexity, quantum statistical inference, quantum cloning, quantum entanglement, additivity. It treats three types of quantum security system, quantum public key cryptography, quantum key distribution, and quantum steganography. A...
Recently, the field of quantum computation and information has been developing through a fusion of results from various research fields in theoreti...
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...
This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key to...
This book explains the group representation theory for quantum theory in the language of quantum theory. Group representation theory is a fundamental mathematical tool for quantum theory, in particular, for quantum information. Quantum theory requires so many aspects of group representation theory. There are so many books for group representation theory. Most of books based on the mathematical viewpoint focus only on a part of group representation used for quantum theory. In particular, they do not focus on the projective representation while any physical realizable symmetry is written as...
This book explains the group representation theory for quantum theory in the language of quantum theory. Group representation theory is a fundament...
This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several...
This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. Th...
This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression.
This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies,...
