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Mathematics of Quantum Computing

An Introduction

  • Wolfgang Scherer
Textbook

Table of contents

  1. Front Matter
    Pages i-xix
  2. Wolfgang Scherer
    Pages 1-9
  3. Wolfgang Scherer
    Pages 11-75
  4. Wolfgang Scherer
    Pages 77-125
  5. Wolfgang Scherer
    Pages 127-160
  6. Wolfgang Scherer
    Pages 247-341
  7. Wolfgang Scherer
    Pages 343-402
  8. Wolfgang Scherer
    Pages 403-497
  9. Wolfgang Scherer
    Pages 499-500
  10. Back Matter
    Pages 501-764

About this book

Introduction

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.

Keywords

Quantum computing math Entanglement measures Bell inequality Quantum algorithms Shor factorization algorithm Grover search algorithm Phase Estimation Search for Hidden Subgroup Quantum error correction Quantum computing textbook Textnook quantum computing Text quantum information

Authors and affiliations

  • Wolfgang Scherer
    • 1
  1. 1.KingstonUK

Bibliographic information