●Preface
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 artifi intelligence
1.5 Applications to finan services
1.6 What about cryptography?
1.7 Summary
I Foundations
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
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
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
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
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
4.7 Summary
5 Dimensions
6 What Do You Mean "Probably"?
II Quantum Computing
7 One Qubit
8 Two Qubits, Three
9 Wirina Up the Circuits
10 From Circuits to Algorithms
11 Getting Physical
12 Questions about the Future
Afterword
Appendices
A Quick Reference
B Symbols
C Notices
D Production Notes
Other Books You May Enjoy
Index
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