Introduction to Quantum Algorithms (Pure and Applied Undergraduate Texts)

Buchmann, Johannes A.

American Mathematical Society（2024/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 371 p.
• 言語 ENG
• 商品コード 9781470473983
• DDC分類 518.1

Full Description

Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.

Contents

Classical computation
Hilbert spaces
Quantum mechanics
The theory of quantum algorithms
The algorithms of Deutsch and Simon
The algorithms of Shor
Quantum search and quantum counting
The HHL algorithm
Foundations
Linear algebra
Probability theory
Solutions of selected exercises
Bibliography
Index