{ "id": "2306.09984", "version": "v1", "published": "2023-06-16T17:28:35.000Z", "updated": "2023-06-16T17:28:35.000Z", "title": "Variational quantum algorithms for machine learning: theory and applications", "authors": [ "Stefano Mangini" ], "comment": "Final thesis for the Ph.D in Physics at the University of Pavia, 220 pages", "categories": [ "quant-ph" ], "abstract": "This Ph.D. thesis provides a comprehensive review of the state-of-the-art in the field of Variational Quantum Algorithms and Quantum Machine Learning, including numerous original contributions. The first chapters are devoted to a brief summary of quantum computing and an in-depth analysis of variational quantum algorithms. The discussion then shifts to quantum machine learning, where an introduction to the elements of machine learning and statistical learning theory is followed by a review of the most common quantum counterparts of machine learning models. Next, several novel contributions to the field based on previous work are presented, namely: a newly introduced model for a quantum perceptron with applications to recognition and classification tasks; a variational generalization of such a model to reduce the circuit footprint of the proposed architecture; an industrial use case of a quantum autoencoder followed by a quantum classifier used to analyze classical data from an industrial power plant; a study of the entanglement features of quantum neural network circuits; and finally, a noise deconvolution technique to remove a large class of noise when performing arbitrary measurements on qubit systems.", "revisions": [ { "version": "v1", "updated": "2023-06-16T17:28:35.000Z" } ], "analyses": { "keywords": [ "variational quantum algorithms", "applications", "quantum machine learning", "quantum neural network circuits", "noise deconvolution technique" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 220, "language": "en", "license": "arXiv", "status": "editable" } } }