Mathematics of Quantum Computing: An Introduction

Wolfgang Scherer

ISBN 10: 303012357X / ISBN 13: 9783030123574

Verlag: Springer International Publishing, 2019

Beschreibung

Focusing on the mathematical foundations of quantum computing, this textbook serves as an essential resource for physicists, mathematicians, and computer scientists. It covers the necessary mathematics for quantum mechanics, exploring key concepts such as entanglement, quantum gates, and algorithms like Shor's and Grover's. Additionally, it discusses the Abelian Hidden Subgroup and Discrete Logarithm problems, linking them to Bitcoin security. With around 140 exercises and solutions, it provides a comprehensive approach to understanding both the theory and practical applications of quantum computing.

Bestandsnummer des Verkäufers afe169be-53b7-4b8a-8569-b4b3a97c7e96

Bibliografische Details

• Titel: Mathematics of Quantum Computing: An Introduction
• Verlag: Springer International Publishing
• Veröffentlichungsdatum: 2019
• Sprache: Englisch
• ISBN-10: 303012357X
• ISBN-13: 9783030123574
• Bindung: Hardcover
• Zustand: As New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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.