Compton Form Factor Extraction using Quantum Deep Neural Networks

Abstract: Extraction tests of Compton Form Factors are performed using pseudodata based on experimental data from Deeply Virtual Compton Scattering experiments conducted at Jefferson Lab. The standard Belitsky, Kirchner, and Muller formalism at twist-two is employed, along with a fitting procedure designed to reduce model dependency similar to traditional local fits. The extraction of the Compton Form Factors is performed using both Classical Deep Neural Networks (CDNNs) and Quantum Deep Neural Networks (QDNNs). Comparative studies reveal that QDNNs outperform CDNNs for this application, demonstrating improved predictive accuracy and precision even for limited model complexity. The results demonstrate the potential of QDNNs for future studies in which quantum algorithms can be fully optimized.