arXiv Machine Learning By Seokjun Lee, Sergio A. Ortega, Daniel K. Park, Namshik Han

VQIL: Visible Quantum Interference Learning for Perturbation Response Ranking on Graphs

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The paper introduces VQIL, a trainable Szegedy quantum walk that learns how local perturbations propagate through a graph. By optimizing edge weights, link phases, and node phase rotations via backpropagation, VQIL produces node rankings based on a geometrically discounted coherent sum of quantum-walk amplitudes. Experiments on AC power‑flow and gene perturbation datasets show significant improvements in Spearman rank correlation compared to untrained walks and classical baselines, demonstrating the method’s scalability and interpretability.

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