Mathematics of quantum computing : an introduction / Wolfgang Scherer.

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Mathematics of quantum computing : an introduction / Wolfgang Scherer.

9783030123581 (electronic book)
3030123588 (electronic book)
9783030123574

https://doi.org/10.1007/978-3-030-12358-1
https://doi.org/10.1007/978-3-030-12

Cham : Springer, [2019]

©2019

English

1 online resource : illustrations

10.1007/978-3-030-12358-1 doi
10.1007/978-3-030-12

QC174.17.M35 S34 2019eb

530.12

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed November 20, 2019).

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