Overview
- Serves as pedagogical introduction including a clear derivation of all main results
- Mathematically rigorous, following the structure: Definition - Theorem - Proof, but interwoven with motivation and discussions
- Alleviates the need to consult any outside material because of its entirely self-contained presentation
- Features many exercises with solutions to support self-study
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Table of contents (9 chapters)
Keywords
About this book
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 ofsolutions.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Mathematics of Quantum Computing
Book Subtitle: An Introduction
Authors: Wolfgang Scherer
DOI: https://doi.org/10.1007/978-3-030-12358-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-12357-4Published: 22 November 2019
Softcover ISBN: 978-3-030-12360-4Published: 22 November 2020
eBook ISBN: 978-3-030-12358-1Published: 13 November 2019
Edition Number: 1
Number of Pages: XIX, 764
Number of Illustrations: 816 b/w illustrations
Topics: Quantum Information Technology, Spintronics, Quantum Computing, Theory of Computation, Theoretical, Mathematical and Computational Physics