A Practical Guide to Quantum Machine Learning and Quantum Optimisation: Hands-on Approach to Modern Quantum Algorithms

Work with fully explained algorithms and ready-to-use examples that can be run on quantum simulators and actual quantum computers with this comprehensive guide

Key Features

• Get a solid grasp of the principles behind quantum algorithms and optimization with minimal mathematical prerequisites
• Learn the process of implementing the algorithms on simulators and actual quantum computers
• Solve real-world problems using practical examples of methods

Book Description

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.

What you will learn

• Review the basics of quantum computing
• Gain a solid understanding of modern quantum algorithms
• Understand how to formulate optimization problems with QUBO
• Solve optimization problems with quantum annealing, QAOA, GAS, and VQE
• Find out how to create quantum machine learning models
• Explore how quantum support vector machines and quantum neural networks work using Qiskit and PennyLane
• Discover how to implement hybrid architectures using Qiskit and PennyLane and its PyTorch interface

Who this book is for

This book is for professionals from a wide variety of backgrounds, including computer scientists and programmers, engineers, physicists, chemists, and mathematicians. Basic knowledge of linear algebra and some programming skills (for instance, in Python) are assumed, although all mathematical prerequisites will be covered in the appendices.

Table of Contents

1. Foundations of Quantum Computing
2. The Tools of the Trade in Quantum Computing
3. Working with Quadratic Unconstrained Binary Optimization Problems
4. Adiabatic Quantum Computing and Quantum Annealing
5. QAOA: Quantum Approximate Optimization Algorithm
6. GAS: Grover Adaptative Search
7. VQE: Variational Quantum Solver
8. What is Quantum Machine Learning?
9. Quantum Support Vector Machines
10. Quantum Neural Networks
11. The Best of Both Worlds: Hybrid Architectures
12. Quantum Generative Adversarial Networks
13. Afterword: The Future of Quantum Computing
14. Complex Numbers
15. Basic Linear Algebra
16. Computational Complexity
17. Installing the Tools
18. Production Notes

Elías F. Combarro holds degrees from the University of Oviedo (Spain) in both Mathematics (1997, award for second highest grades in the country) and Computer Science (2002, award for highest grades in the country). After some research stays at the Novosibirsk State University (Russia), he obtained a Ph.D. in Mathematics (Oviedo, 2001) with a dissertation on the properties of some computable predicates under the supervision of Prof. Andrey Morozov and Prof. Consuelo Martínez.

Since 2009, Elías F. Combarro has been an associate professor at the Computer Science Department of the University of Oviedo. He has published more than 50 research papers in international journals on topics such as Computability Theory, Machine Learning, Fuzzy Measures and Computational Algebra. His current research focuses on the application Quantum Computing to algebraic, optimisation and machine learning problems.

From July 2020 to January 2021, he was a Cooperation Associate at CERN openlab. Currently, he is the Spain representative in the Advisory Board of CERN Quantum Technology Initiative, a member of the Advisory Board of SheQuantum and one of the founders of the QSpain, a quantum computing think tank based in Spain.

Samuel González-Castillo holds degrees from the University of Oviedo (Spain) in both Mathematics and Physics (2021). He is currently a mathematics research student at the National University of Ireland, Maynooth, where he works as a graduate teaching assistant.

He completed his physics bachelor thesis under the supervision of Prof. Elías F. Combarro and Prof. Ignacio F. Rúa (University of Oviedo), and Dr. Sofia Vallecorsa (CERN). In it, he worked alongside other researchers from ETH Zürich on the application of Quantum Machine Learning to classification problems in High Energy Physis. In 2021, he was a summer student at CERN developing a benchmarking framework for quantum simulators. He has contributed to several conferences on quantum computing.