Introduction To Quantum Information Science by Masahito HayashiIntroduction To Quantum Information Science by Masahito Hayashi

Introduction To Quantum Information Science

byMasahito Hayashi, Satoshi Ishizaka, Akinori Kawachi

Hardcover | September 3, 2014

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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. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.
Masahito Hayashi has received his Ph.D. at Kyoto University, Department of Mathematics, Graduate School of Science, in 1999. Between 1998 and 2000 he was a Research Fellow of the Japan Society for the Promotion of Science followed by three years of research at the Laboratory for Mathematical Neuroscience (Amari's Laboratory), Brain Sci...
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Title:Introduction To Quantum Information ScienceFormat:HardcoverDimensions:332 pagesPublished:September 3, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3662435012

ISBN - 13:9783662435014

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Table of Contents

Invitation to Quantum Information Science.- Quantum Mechanics for Qubit Systems.- Foundations of Quantum Computing.- Quantum Algorithm.- Foundations of Quantum Mechanics and Quantum Information Theory.- Information Quantities in Quantum Systems.- Quantum Entanglement.- Classical-Quantum Channel Coding.- Quantum Error Correction and Quantum Cryptography.