Geometric Analysis for QSVM Application using Kullback-Leibler Divergence

In supervised quantum machine learning, mapping data to quantum states is crucial. We propose a novel method to analyze Quantum Feature Maps by examining quantum states from data mapping, considering each qubit's projections onto Pauli observable values. Using Kullback-Leibler divergence, we analyze quantum states for binary data in Quantum Support Vector Machines. Our findings show a significant relationship between Kullback-Leibler divergence, data separability, and model accuracy, highlighting our approach's effectiveness.

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Published
2024-09-15
DOI
https://doi.org/10.1109/qce60285.2024.10433
Primary Topic
Industrial Vision Systems and Defect Detection
Type
article
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article

Geometric Analysis for QSVM Application using Kullback-Leibler Divergence

Jesús Yaljá Montiel-Pérez, Alberto Maldonado-Romo, Daniel Sierra-Sosa, A. Monroy-Azpeitia
Industrial Vision Systems and Defect Detection
article

Geometric Analysis for QSVM Application using Kullback-Leibler Divergence

Jesús Yaljá Montiel-Pérez, Alberto Maldonado-Romo, Daniel Sierra-Sosa, A. Monroy-Azpeitia
article en

Abstract

In supervised quantum machine learning, mapping data to quantum states is crucial. We propose a novel method to analyze Quantum Feature Maps by examining quantum states from data mapping, considering each qubit's projections onto Pauli observable values. Using Kullback-Leibler divergence, we analyze quantum states for binary data in Quantum Support Vector Machines. Our findings show a significant relationship between Kullback-Leibler divergence, data separability, and model accuracy, highlighting our approach's effectiveness.

University of America (US), Catholic University of America (US)
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Industrial Vision Systems and Defect Detection
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