Mathematics of Quantum Computing : An Introduction

Wolfgang Scherer

ISBN 10: 303012357X / ISBN 13: 9783030123574

Editore: Springer International Publishing, 2019

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Druck auf Anfrage Neuware - Printed after ordering - 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 onquantum 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 theproblem of error correction as well as giving a detailed exposition of adiabaticquantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix ofsolutions.

Codice articolo 9783030123574

Dati bibliografici

• Titolo: Mathematics of Quantum Computing : An Introduction
• Editore: Springer International Publishing
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 303012357X
• ISBN 13: 9783030123574
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.