Protecting Information: From Classical Error Correction to Quantum Cryptography

Susan Loepp, William Wootters

  • 出版商: Cambridge
  • 出版日期: 2006-07-31
  • 售價: $820
  • 貴賓價: 9.8$804
  • 語言: 英文
  • 頁數: 304
  • 裝訂: Paperback
  • ISBN: 0521534763
  • ISBN-13: 9780521534765
  • 相關分類: 資訊安全量子計算
  • 下單後立即進貨 (約5~7天)

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商品描述

Description

For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of complex numbers, vectors, and matrices.

• Accessible to readers familiar with matrix algebra, vector spaces and complex numbers

 • First undergraduate text to cover cryptography, error-correction, and quantum computation together

 • Features exercises designed to enhance understanding, including a number of computational problems, available from www.cambridge.org/9780521534765

 

Table of Contents

1. Cryptography: an overview; 2. Quantum mechanics; 3. Quantum cryptography; 4. An introduction to error-correcting codes; 5. Quantum cryptography revisited; 6. Generalized Reed-Solomon codes; 7. Quantum computing; Appendix.

商品描述(中文翻譯)

描述

對於許多日常傳輸來說,保護數字信息免受噪音或竊聽是至關重要的。這本本科介紹錯誤修正和加密的書籍在於將幾章專門用於量子加密和量子計算,從而提供數學和物理相遇的背景。通過涵蓋Shor的量子因數分解算法等主題,本書向讀者介紹了量子信息理論的當前思想,並鼓勵對數學和科學之間的聯繫有所認識。特別感興趣的是量子物理學的潛在影響:(i) 如果建造了量子計算機,它可以破解我們目前使用的公鑰加密系統;(ii) 量子加密承諾提供了一種基於自然法則而不是計算複雜性的替代加密系統。不需要對量子力學有先備知識,但學生應該具備對復數、向量和矩陣的基本知識。

• 適合熟悉矩陣代數、向量空間和復數的讀者
• 第一本本科教材將加密、錯誤修正和量子計算結合在一起
• 包含旨在增強理解力的練習,包括一些計算問題,可從www.cambridge.org/9780521534765獲取

目錄

1. 加密學概述;2. 量子力學;3. 量子加密;4. 介紹錯誤修正碼;5. 重訪量子加密;6. 广义Reed-Solomon碼;7. 量子計算;附錄。