Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes

La Guardia, Giuliano Gadioli

  • 出版商: Springer
  • 出版日期: 2020-06-26
  • 定價: $3,500
  • 售價: 9.0$3,150
  • 語言: 英文
  • 頁數: 227
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030485501
  • ISBN-13: 9783030485504
  • 相關分類: 量子 Quantum
  • 立即出貨 (庫存 < 3)

商品描述

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by applying the well-known Calderbank-Shor-Steane (CSS), Hermitian, and Steane enlargement constructions to certain classes of classical codes. In addition, the book presents families of asymmetric quantum codes with good parameters and provides a detailed description of the procedures adopted to construct families of asymmetric quantum convolutional codes.

Featuring accessible language and clear explanations, the book is suitable for use in advanced undergraduate and graduate courses as well as for self-guided study and reference. It provides an expert introduction to algebraic techniques of code construction and, because all of the constructions are performed algebraically, it enables the reader to construct families of codes, rather than only codes with specific parameters. The text offers an abundance of worked examples, exercises, and open-ended problems to motivate the reader to further investigate this rich area of inquiry. End-of-chapter summaries and a glossary of key terms allow for easy review and reference.

商品描述(中文翻譯)

本書以代數方法介紹了從經典碼衍生出多個重要的量子碼家族的構建。這些方法包括著名的Calderbank-Shor-Steane(CSS)、Hermitian和Steane擴展構造應用於某些類別的經典碼。此外,本書還介紹了具有良好參數的非對稱量子碼家族,並詳細描述了構建非對稱量子卷積碼家族的程序。

本書使用易懂的語言和清晰的解釋,適合高年級本科生和研究生課程使用,也適合自學和參考。它專業地介紹了代數構建碼的技術,並且由於所有構建都是代數上進行的,讀者能夠構建碼的家族,而不僅僅是具有特定參數的碼。本書提供了豐富的實例、練習和開放性問題,以激發讀者進一步探索這個豐富的研究領域。章末摘要和關鍵詞詞彙表方便讀者複習和查閱。

作者簡介

Giuliano G. La Guardia received a Master's degree in pure mathematics in 1998 and a PhD in electrical engineering in 2008, both from the State University of Campinas (UNICAMP), São Paulo, Brazil. Since 1999 he has been with the Department of Mathematics and Statistics at the State University of Ponta Grossa, where he is an Associate Professor. His research areas include quantum and classical coding theory, matroid theory, category theory and dynamical systems theory.

作者簡介(中文翻譯)

Giuliano G. La Guardia於1998年獲得巴西聖保羅州坎皮納斯州立大學(UNICAMP)純數學碩士學位,並於2008年獲得電機工程博士學位。自1999年以來,他一直在庞塔格罗萨州立大学的數學與統計學系擔任副教授。他的研究領域包括量子和經典編碼理論、拓撲理論、範疇理論和動力系統理論。