Title: Quantum Machine Learning for Non-Standard Data Sets
Jincheng Zhang
Abstract
Quantum Machine Learning (QML) offers a paradigm shift in data analysis, potentially surpassing the limitations of classical machine learning algorithms with its capacity for enhanced pattern recognition and data representation. This paper explores the application of quantum algorithms to address the challenges posed by inherently non-standard datasets, such as sensor data and time-series data characterized by complex correlations and high dimensionality. We propose a novel framework centered on quantum principal component analysis (QPCA) and Grover's algorithm to extract key insights from these datasets, demonstrating potential improvements in data understanding and feature extraction. This work aims to establish a foundation for QML applications in diverse fields, including anomaly detection, predictive modeling, and signal processing, where traditional methods often fall short. The core mechanism involves leveraging quantum properties to overcome challenges inherent in these data types.