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A new quantum approach to binary classification.

Giuseppe Sergioli1, Roberto Giuntini1,2, Hector Freytes1

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Summary
This summary is machine-generated.

A new Helstrom Quantum Centroid (HQC) classifier uses quantum principles for binary classification on classical data. HQC demonstrates superior performance over standard methods, particularly with increased quantum data representations.

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Area of Science:

  • Computer Science
  • Quantum Computing
  • Machine Learning

Background:

  • Classical binary classification methods face challenges with complex datasets.
  • Quantum mechanics offers novel approaches for information processing and pattern recognition.

Purpose of the Study:

  • To introduce a novel quantum-inspired binary classifier, the Helstrom Quantum Centroid (HQC).
  • To evaluate the performance of HQC against established classical classifiers on diverse datasets.

Main Methods:

  • Developed HQC classifier based on quantum Helstrom measurement principles.
  • Encoded classical data patterns into quantum density matrices (density patterns).
  • Compared HQC performance against twelve standard linear and non-linear classifiers.

Main Results:

  • HQC significantly outperformed existing classifiers based on Balanced Accuracy and other statistical metrics.
  • Classifier performance showed a positive correlation with the number of quantum copies and tensor products of data patterns.

Conclusions:

  • The Helstrom Quantum Centroid (HQC) offers a promising quantum-like approach for binary classification tasks.
  • Quantum encoding and processing of classical data can enhance classification accuracy.