Introduction to Quantum Information Science (Graduate Texts in Physics)

Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa

  • 出版商: Springer
  • 出版日期: 2014-09-03
  • 售價: $3,970
  • 貴賓價: 9.5$3,772
  • 語言: 英文
  • 頁數: 332
  • 裝訂: Hardcover
  • ISBN: 3662435012
  • ISBN-13: 9783662435014
  • 相關分類: 物理學 Physics量子 Quantum
  • 海外代購書籍(需單獨結帳)

商品描述

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.

商品描述(中文翻譯)

這本書介紹了量子資訊的基礎知識,例如量子理論的基礎、量子演算法、量子糾纏、量子熵、量子編碼、量子錯誤修正和量子密碼學。閱讀本書只需要基礎微積分和線性代數的知識,因此本書適合本科生閱讀。為了學習量子資訊,通常需要先學習量子理論的基礎知識。本書以操作觀點描述量子理論的基礎,這對於量子資訊來說非常適合,而傳統的量子理論教科書則缺乏這種觀點。本書以Shor算法、Grover算法和Deutsch-Jozsa算法作為基礎算法。為了介紹量子資訊的多個主題,本書涵蓋了量子系統中多種信息量,包括馮·諾依曼熵。本書還介紹了幾種量子信息處理的極限。作為重要的量子協議,本書包括量子傳輸、量子密集編碼和量子數據壓縮。特別是本書還介紹了通過局部操作和經典通信進行糾纏轉換的理論。這個理論提供了糾纏的量化方法,與馮·諾依曼熵相一致。下一部分介紹了量子假設檢驗。給出了對於未知狀態的兩個候選者的決策問題。這個問題的漸近性能由信息量來刻畫。利用這個結果,可以推導出在噪聲量子通道上的經典信息傳輸的最佳性能。本書還討論了通過量子錯誤修正實現的在噪聲量子通道上的量子信息傳輸。基於這個主題,本書解釋了安全的量子通信。特別是,本書還解釋了量子安全性的量化方法,這在現有的書籍中尚未涉及。本書從更實用的角度介紹了量子密碼學。