Mathematics of Quantum Computing (inbunden)

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Format: Häftad (Paperback / softback)
Språk: Tyska
Antal sidor: 764
Utgivningsdatum: 2020-11-22
Upplaga: 1st ed. 2019
Förlag: Springer Nature Switzerland AG
Originalspråk: German
Illustrationer: 816 Illustrations, black and white; XIX, 764 p. 816 illus.
Dimensioner: 234 x 156 x 40 mm
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Antal komponenter: 1
Komponenter: 1 Paperback / softback
ISBN: 9783030123604

Mathematics of Quantum Computing

Name: Mathematics of Quantum Computing
Price: 1062.00 SEK
Availability: InStock
Author: Wolfgang Scherer
ISBN: 9783030123604

An Introduction

av Wolfgang Scherer

Häftad, Tyska, 2020-11-22

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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.

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Mathematik der Quanteninformatik

Wolfgang Scherer

Dieses Buch stellt die elementaren mathematischen Aspekte in der Quanteninformatik im strikten Formalismus der Mathematik dar. Dem Leser wird zunchst das erforderliche mathematische Grundwissen bereit gestellt. Mit diesem Instrumentarium werden da...

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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.

Introduction.- Basic Notions of Quantum Mechanics.- Tensor Products and Composite Systems.- Entanglement.- Quantum Gates and Circuits for Elementary Calculations.- On the Use of Entanglement.- Error Correction.- Adiabatic Quantum Computing.- Epilogue Appendices: A Elementary Probability Theory.- B Elementary Arithmetic Operations.- C LANDAU Symbols.- D Modular Arithmetic.- E Continued Fractions.- F Some Group Theory.- G Proof of a Quantum Adiabatic Theorem.- Solutions to Exercises.