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商品描述
This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.
商品描述(中文翻譯)
這本教科書以數學形式呈現量子計算的基本概念。它旨在作為物理學家、數學家和計算機科學家在修習量子計算入門課程時的核心或補充讀物。書中首先介紹了量子力學所需的基本數學,然後詳細介紹了量子力學、糾纏、量子閘和量子演算法的概念,其中對於 Shor 的因數分解演算法和 Grover 的搜尋演算法進行了廣泛的討論。此外,書中還介紹了阿貝爾隱藏子群和離散對數問題的演算法,並利用後者展示比特幣數位簽名可能受到的威脅。書中還探討了錯誤修正問題,並詳細闡述了絕熱量子計算。全書包含約 140 道練習題,涵蓋所有主題,並附有解答附錄。
作者簡介
Wolfgang Scherer was active in research and teaching in the USA and Germany before settling in London where until recently he worked in risk management for a financial institution. His scientific interests include geometric methods in mathematical physics and fundamental problems in quantum mechanics. He takes pleasure in communicating the joy of mathematics to the younger generation, and is an aficionado of two-wheeled vehicles, with and without motor.
作者簡介(中文翻譯)
沃爾夫岡·謝雷(Wolfgang Scherer)曾在美國和德國從事研究和教學,後來定居於倫敦,直到最近他在一家金融機構從事風險管理工作。他的科學興趣包括數學物理中的幾何方法以及量子力學中的基本問題。他喜歡向年輕一代傳達數學的樂趣,並且是兩輪交通工具的愛好者,無論是否有馬達。