You're reading from A Practical Guide to Quantum Machine Learning and Quantum Optimization Hands-on Approach to Modern Quantum Algorithms

Product type Paperback

Published in Mar 2023

Publisher Packt

ISBN-13 9781804613832

Length 680 pages

Edition 1st Edition

Tools

Pennylane

Concepts

Machine Learning

Authors (2):

Elías F. Combarro Fernández-Combarro Álvarez

Samuel González Castillo

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Table of Contents (27) Chapters

Preface

1. Part I: I, for One, Welcome our New Quantum Overlords

2. Chapter 1: Foundations of Quantum Computing FREE CHAPTER

3. Chapter 2: The Tools of the Trade in Quantum Computing

4. Part II: When Time is Gold: Tools for Quantum Optimization

5. Chapter 3: Working with Quadratic Unconstrained Binary Optimization Problems

6. Chapter 4: Adiabatic Quantum Computing and Quantum Annealing

7. Chapter 5: QAOA: Quantum Approximate Optimization Algorithm

8. Chapter 6: GAS: Grover Adaptive Search

9. Chapter 7: VQE: Variational Quantum Eigensolver

10. Part III: A Match Made in Heaven: Quantum Machine Learning

11. Chapter 8: What Is Quantum Machine Learning?

12. Chapter 9: Quantum Support Vector Machines

13. Chapter 10: Quantum Neural Networks

14. Chapter 11: The Best of Both Worlds: Hybrid Architectures

15. Chapter 12: Quantum Generative Adversarial Networks

16. Part IV: Afterword and Appendices

17. Chapter 13: Afterword: The Future of Quantum Computing

18. Assessments

19. Bibliography

20. Index

21. Other Books You May Enjoy

Appendix A: Complex Numbers

1. Appendix B: Basic Linear Algebra

2. Appendix C: Computational Complexity

3. Appendix D: Installing the Tools

4. Appendix E: Production Notes

Assessments

Chapter 1, Foundations of Quantum Computing

(1.1) The probability of measuring if the state of a qubit is is exactly

$\left. \left| \sqrt{\left. 1\slash 2 \right.} \right|^{2} = 1\slash 2. \right.$

In the same way, the probability of measuring is also . If the state of the qubit is , the probability of measuring is $\left. \left| \sqrt{\left. 1\slash 3 \right.} \right|^{2} = 1\slash 3 \right.$ and the probability of measuring is $\left. \left| \sqrt{\left. 2\slash 3 \right.} \right|^{2} = 2\slash 3. \right.$

Finally, if the qubit state is , the probability of measuring is $\left. \left| \sqrt{\left. 1\slash 2 \right.} \right|^{2} = 1\slash 2 \right.$ and the probability of measuring is $\left. \left| {- \sqrt{\left. 1\slash 2 \right.}} \right|^{2} = 1\slash 2. \right.$

(1.2) The inner product of and is $\sqrt{\left. 1\slash 2 \right.}\sqrt{\left. 1\slash 3 \right.} + \sqrt{\left. 1\slash 2 \right.}\sqrt{\left. 2\slash 3 \right.} = \sqrt{\left. 1\slash 6 \right.} + \sqrt{\left. 1\slash 3 \right.}.$

The inner product of and is $\sqrt{\left. 1\slash 2 \right.}\sqrt{\left. 1\slash 2 \right.} - \sqrt{\left. 1\slash 2 \right.}\sqrt{\left. 1\slash 2 \right.} = 0.$

(1.3) The adjoint of is itself and it holds that . Hence, is unitary and its inverse is itself. The operation takes to .

(1.4) The adjoint of is itself and it holds that . Hence, is unitary and its inverse is itself. The operation takes to and to . Finally, it holds that and that .

(1.6) Since , it is apparent that . Also, we have by Euler’s identity, so . As a consequence, , so . Also, , and it follows that .

(1.7) By the definition of we have that

Analogously...

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Table of Contents (27) Chapters

Assessments

Chapter 1, Foundations of Quantum Computing

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Authors (2)

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