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Quantum Machine Learning and Optimisation in Finance

You're reading from   Quantum Machine Learning and Optimisation in Finance Drive financial innovation with quantum-powered algorithms and optimisation strategies

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Product type Paperback
Published in Dec 2024
Publisher Packt
ISBN-13 9781836209614
Length 494 pages
Edition 2nd Edition
Languages
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Authors (2):
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Jacquier Antoine Jacquier Antoine
Author Profile Icon Jacquier Antoine
Jacquier Antoine
Alexei Kondratyev Alexei Kondratyev
Author Profile Icon Alexei Kondratyev
Alexei Kondratyev
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Toc

Table of Contents (21) Chapters Close

Preface 1. Chapter 1 The Principles of Quantum Mechanics FREE CHAPTER 2. Part I Analog Quantum Computing – Quantum Annealing
3. Chapter 2 Adiabatic Quantum Computing 4. Chapter 3 Quadratic Unconstrained Binary Optimisation 5. Chapter 4 Quantum Boosting 6. Chapter 5 Quantum Boltzmann Machine 7. Part II Gate Model Quantum Computing
8. Chapter 6 Qubits and Quantum Logic Gates 9. Chapter 7 Parameterised Quantum Circuits and Data Encoding 10. Chapter 8 Quantum Neural Network 11. Chapter 9 Quantum Circuit Born Machine 12. Chapter 10 Variational Quantum Eigensolver 13. Chapter 11 Quantum Approximate Optimisation Algorithm 14. Chapter 12 Quantum Kernels and Quantum Two-Sample Test 15. Chapter 13 The Power of Parameterised Quantum Circuits 16. Chapter 14 Advanced QML Models 17. Chapter 15 Beyond NISQ 18. Bibliography
19. Index 20. Other Books You Might Enjoy

Summary

In this chapter, we learned how to construct and train a generative QML model – Quantum Circuit Born Machine. We started with the general concept of a PQC as a generative model, where the readout operation produces a sample from the probability distribution encoded in the PQC parameters.

Next, we introduced the concept of a hardware-efficient PQC ansatz. Additionally, to build a model that is compatible with QPU connectivity and can easily be embedded into a QPU graph, we tried to use adjustable (one-qubit) and fixed (two-qubit) gates from the set of the native quantum gates for the given system.

Then, we studied differentiable and non-differentiable learning algorithms and experimented with a QCBM trained using a GA. Comparison with the classical benchmark (an RBM) demonstrated a realistic possibility of quantum advantage for generative quantum machine learning models.

Finally, we explored the question of training algorithm convergence for various sets of model parameters...

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