Mathematics of Quantum Computing

An Introduction

Specificaties
Gebonden, blz. | Engels
Springer International Publishing | e druk, 2019
ISBN13: 9783030123574
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Springer International Publishing e druk, 2019 9783030123574
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783030123574
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

Inhoudsopgave

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

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        Mathematics of Quantum Computing