Dancing with qubits : how quantum computing works and how it can change the world /

Dancing with qubits : how quantum computing works and how it can change the world /

書目詳細資料
主要作者: Sutor, Robert S.
格式: 圖書
語言:English
出版: Birmingham, UK : Packt Publishing, Ltd., 2019.
主題:
Quantum computing.
Quantum theory.
Programming languages (Electronic computers).
Computer science.
Classic Catalogue: View this record in Classic Catalogue
書本目錄:
  • Cover
  • Title Page
  • Copyright
  • Packt page
  • Dedication
  • Contributors
  • Contents
  • List of Figures
  • Preface
  • Chapter 1: Why Quantum Computing?
  • 1.1 The mysterious quantum bit
  • 1.2 I'm awake!
  • 1.3 Why quantum computing is different
  • 1.4 Applications to artificial intelligence
  • 1.5 Applications to financial services
  • 1.6 What about cryptography?
  • 1.7 Summary
  • I Foundations
  • Chapter 2: They're Not Old, They're Classics
  • 2.1 What's inside a computer?
  • 2.2 The power of two
  • 2.3 True or false?
  • 2.4 Logic circuits
  • 2.5 Addition, logically Contents: 2.6 Algorithmically speaking
  • 2.7 Growth, exponential and otherwise
  • 2.8 How hard can that be?
  • 2.8.1 Sorting
  • 2.8.2 Searching
  • 2.9 Summary
  • Chapter 3: More Numbers than You Can Imagine
  • 3.1 Natural numbers
  • 3.2 Whole numbers
  • 3.3 Integers
  • 3.4 Rational numbers
  • 3.4.1 Fractions
  • 3.4.2 Getting formal again
  • 3.5 Real numbers
  • 3.5.1 Decimals
  • 3.5.2 Irrationals and limits
  • 3.5.3 Binary forms
  • 3.5.4 Continued fractions
  • 3.6 Structure
  • 3.6.1 Groups
  • 3.6.2 Rings
  • 3.6.3 Fields
  • 3.6.4 Even greater abstraction
  • 3.7 Modular arithmetic
  • 3.8 Doubling down Contents: 3.9 Complex numbers, algebraically
  • 3.9.1 Arithmetic
  • 3.9.2 Conjugation
  • 3.9.3 Units
  • 3.9.4 Polynomials and roots
  • 3.10 Summary
  • Chapter 4: Planes and Circles and Spheres, Oh My
  • 4.1 Functions
  • 4.2 The real plane
  • 4.2.1 Moving to two dimensions
  • 4.2.2 Distance and length
  • 4.2.3 Geometric figures in the real plane
  • 4.2.4 Exponentials and logarithms
  • 4.3 Trigonometry
  • 4.3.1 The fundamental functions
  • 4.3.2 The inverse functions
  • 4.3.3 Additional identities
  • 4.4 From Cartesian to polar coordinates
  • 4.5 The complex ``plane''
  • 4.6 Real three dimensions Contents: 4.7 Summary
  • Chapter 5: Dimensions
  • 5.1 R2 and C2
  • 5.2 Vector spaces
  • 5.3 Linear maps
  • 5.3.1 Algebraic structure of linear transformations
  • 5.3.2 Example linear transformations on R2
  • 5.4 Matrices
  • 5.4.1 Notation and terminology
  • 5.4.2 Matrices and linear maps
  • 5.5 Matrix algebra
  • 5.5.1 Arithmetic of general matrices
  • 5.5.2 Arithmetic of square matrices
  • 5.6 Cartesian products
  • 5.7 Length and preserving it
  • 5.7.1 Dot products
  • 5.7.2 Inner products
  • 5.7.3 Euclidean norm
  • 5.7.4 Reflections again
  • 5.7.5 Unitary transformations Contents: 5.7.6 Systems of linear equations
  • 5.8 Change of basis
  • 5.9 Eigenvectors and eigenvalues
  • 5.10 Direct sums
  • 5.11 Homomorphisms
  • 5.11.1 Group homomorphisms
  • 5.11.2 Ring and field homomorphisms
  • 5.11.3 Vector space homomorphisms
  • 5.12 Summary
  • Chapter 6: What Do You Mean ""Probably""?
  • 6.1 Being discrete
  • 6.2 More formally
  • 6.3 Wrong again?
  • 6.4 Probability and error detection
  • 6.5 Randomness
  • 6.6 Expectation
  • 6.7 Markov and Chebyshev go to the casino
  • 6.8 Summary
  • II Quantum Computing
  • Chapter 7: One Qubit
  • 7.1 Introducing quantum bits
  • 7.2 Bras and kets

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