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A Preprocessing Perspective for Quantum Machine Learning Classification Advantage in Finance Using NISQ Algorithms.

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Linear Discriminant Analysis (LDA) improves quantum classifiers. This quantum machine learning approach enhances Variational Quantum Algorithms (VQA), outperforming classical methods despite current quantum computing limitations.

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Area of Science:

  • Quantum Computing
  • Machine Learning
  • Data Science

Background:

  • Quantum Machine Learning (QML) has not yet clearly demonstrated advantages over classical approaches.
  • Current noisy quantum computers with limited qubits hinder the demonstration of quantum advantage.
  • Quantum-inspired techniques show incremental benefits, and hybrid quantum computing shows promise.

Purpose of the Study:

  • To enhance classical encoding and performance of quantum classifiers.
  • To investigate the impact of Linear Discriminant Analysis (LDA) in data preprocessing for QML.
  • To demonstrate improved performance of Variational Quantum Algorithms (VQA) using LDA.

Main Methods:

  • Utilizing Linear Discriminant Analysis (LDA) for data preprocessing.
  • Implementing and evaluating Variational Quantum Algorithms (VQA) as quantum classifiers.
  • Comparing QML performance with and without LDA against baseline classical classifiers.

Main Results:

  • LDA preprocessing led to improved classical encoding for quantum classifiers.
  • The Variational Quantum Algorithm (VQA) demonstrated a performance gain in balanced accuracy when using LDA.
  • The LDA-enhanced VQA model outperformed baseline classical classifiers.

Conclusions:

  • Linear Discriminant Analysis (LDA) is an effective technique for improving quantum classifier performance.
  • QML methods, when combined with classical preprocessing techniques like LDA, can achieve competitive results.
  • Further research into hybrid quantum-classical approaches is warranted to leverage QML potential.