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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

Product type Paperback

Published in Apr 2022

Publisher Packt

ISBN-13 9781801073141

Length 252 pages

Edition 1st Edition

Languages

Python

Tools

Scikit-learn

Concepts

Machine Learning

Author (1):

Leonard S. Woody III

View More author details

Table of Contents (20) Chapters

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

Operators

1. Appendix 2: Sigma Notation

2. Appendix 3: Trigonometry

3. Appendix 4: Probability

4. Appendix 5: References

Why subscribe?

Simple matrix operations

As mentioned in the introduction to this chapter, the power of matrices is the operations defined on them. Here, we go through some of the basic operations for matrices that we will build on as the book progresses. You have already encountered some of these operations with vectors in the previous chapter, but we will now expand them to matrices.

Addition

Addition is one of the easiest operations, along with its inverse subtraction. You basically just perform addition on each entry of one matrix that corresponds with another entry in the other matrix, as shown in the following formula. Addition is only defined for matrices with the same dimensions:

Example

Here is an example of matrix addition:

Exercise 1

What is the sum of the following two matrices? (Answers to exercises are at the end of the chapter.)

Scalar multiplication

Scalar multiplication is also rather easy. A scalar is just a number, and so scalar multiplication...

The rest of the chapter is locked

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Authors (1)

Leonard S. Woody III

Leonard S. Woody III

Leonard S. Woody III is a senior consultant with 20 years of experience explaining complex subjects to software development clients. For the last 3 years, he has worked at Microsoft, most currently as a program manager for Azure Quantum. He was awarded a BS in computer science and a BS in physics from the University of Virginia. He attained his MS in software engineering from George Mason University. Woody lives in Northern Virginia with his wife and four children. His biggest love is spending time with his family.

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