Book Image

A Practical Guide to Quantum Machine Learning and Quantum Optimization

By : Elías F. Combarro, Samuel González-Castillo
4.5 (2)
Book Image

A Practical Guide to Quantum Machine Learning and Quantum Optimization

4.5 (2)
By: Elías F. Combarro, Samuel González-Castillo

Overview of this book

This book provides deep coverage of modern quantum algorithms that can be used to solve real-world problems. You’ll be introduced to quantum computing using a hands-on approach with minimal prerequisites. You’ll discover many algorithms, tools, and methods to model optimization problems with the QUBO and Ising formalisms, and you will find out how to solve optimization problems with quantum annealing, QAOA, Grover Adaptive Search (GAS), and VQE. This book also shows you how to train quantum machine learning models, such as quantum support vector machines, quantum neural networks, and quantum generative adversarial networks. The book takes a straightforward path to help you learn about quantum algorithms, illustrating them with code that’s ready to be run on quantum simulators and actual quantum computers. You’ll also learn how to utilize programming frameworks such as IBM’s Qiskit, Xanadu’s PennyLane, and D-Wave’s Leap. Through reading this book, you will not only build a solid foundation of the fundamentals of quantum computing, but you will also become familiar with a wide variety of modern quantum algorithms. Moreover, this book will give you the programming skills that will enable you to start applying quantum methods to solve practical problems right away.
Table of Contents (27 chapters)
1
Part I: I, for One, Welcome our New Quantum Overlords
4
Part II: When Time is Gold: Tools for Quantum Optimization
10
Part III: A Match Made in Heaven: Quantum Machine Learning
16
Part IV: Afterword and Appendices
17
Chapter 13: Afterword: The Future of Quantum Computing
19
Bibliography
20
Index
Appendix A: Complex Numbers
Appendix E: Production Notes

Appendix B
Basic Linear Algebra

Algebra is generous. She often gives you more than is asked of her.
— Jean le Rond d’Alembert

In this chapter, we will present a very broad overview of linear algebra. More than anything, this is meant to be a refresher. If you would like to learn linear algebra from the basics, we suggest reading Sheldon Axler’s wonderful book [116]. If you are all-in with abstract algebra, we can also recommend the great book by Dummit and Foote [115]. With this out of the way, let’s do some algebra!

When most people think of vectors, they think of fancy arrows pointing in a direction. But, where others see arrows, we mathematicians — in our tireless pursuit of abstraction — see elements of vector spaces. And what is a vector space? Simple!

B.1 Vector spaces

Let be the real or the complex numbers. An -vector space is a set together with an ”addition” function (usually represented by , for obvious reasons) and...