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Introduction to Quantum Information Science (Graduate Texts in Physics) pdf

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Description

 							
  Masahito
Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa, "Introduction to Quantum Information Science
(Graduate Texts in Physics)"
  English | 2014 | ISBN: 3662435012 | 332 pages | PDF | 4.7 MB
  
  
  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.
  
						

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