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Essential Mathematics for Quantum Computing

You're reading from   Essential Mathematics for Quantum Computing A beginner's guide to just the math you need without needless complexities

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Product type Paperback
Published in Apr 2022
Publisher Packt
ISBN-13 9781801073141
Length 252 pages
Edition 1st Edition
Languages
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Author (1):
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Leonard S. Woody III Leonard S. Woody III
Author Profile Icon Leonard S. Woody III
Leonard S. Woody III
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Table of Contents (20) Chapters Close

Preface 1. Section 1: Introduction
2. Chapter 1: Superposition with Euclid FREE CHAPTER 3. Chapter 2: The Matrix 4. Section 2: Elementary Linear Algebra
5. Chapter 3: Foundations 6. Chapter 4: Vector Spaces 7. Chapter 5: Using Matrices to Transform Space 8. Section 3: Adding Complexity
9. Chapter 6: Complex Numbers 10. Chapter 7: EigenStuff 11. Chapter 8: Our Space in the Universe 12. Chapter 9: Advanced Concepts 13. Section 4: Appendices
14. Other Books You May Enjoy Appendix 1: Bra–ket Notation 1. Appendix 2: Sigma Notation 2. Appendix 3: Trigonometry 3. Appendix 4: Probability 4. Appendix 5: References

Appendix 4: Probability

The study of gambling, specifically the throwing of dice, led to the mathematical field of probability. Probability is the study of how likely an event is to occur given a number of possible outcomes. A real number between 0 and 1 is assigned to each event where 0 signifies the event has no chance of happening and 1 signifies the event will always happen. You can also multiply these numbers by 100 to get a percentage that the event will happen. All the probabilities for all possible outcomes must sum to 1. For instance, the probability of a coin flip landing on heads is 0.5 or 50%. For tails, it is also 0.5 or 50%. Both of these numbers add up to 1. From these basics, this chapter will go over the probability needed in the study of quantum computing.

In this chapter, we are going to cover the following main topics:

  • Definitions
  • Random variables
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