Learning high-dimensional quantum entanglement through physics-guided neural networks

Fuente: arXiv
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Auteurs principaux: Xu, Yang, Zhang, Hao, Zhang, Wenwen, Niu, Luchang, Kulkarni, Girish, Amooei, Mahtab, Carbajo, Sergio, Boyd, Robert W.
Format: Preprint
Publié: 2026
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author Xu, Yang
Zhang, Hao
Zhang, Wenwen
Niu, Luchang
Kulkarni, Girish
Amooei, Mahtab
Carbajo, Sergio
Boyd, Robert W.
author_facet Xu, Yang
Zhang, Hao
Zhang, Wenwen
Niu, Luchang
Kulkarni, Girish
Amooei, Mahtab
Carbajo, Sergio
Boyd, Robert W.
contents High-gain spontaneous parametric down-conversion (SPDC) produces bright squeezed vacuum with rich high-dimensional entanglement, but its output is inherently multimodal and non-perturbative, making the full modal characterization a major computational bottleneck. We propose a physics-guided deep neural network that reconstructs the source's modal fingerprint: the high-dimensional correlation signature across radial and azimuthal indices. We designed a FiLM-modulated convolutional architecture that predicts the joint (m,l) distribution, and training is driven by a hybrid loss that couples data-driven metrics (JSD, KL, MSE, Wasserstein) with a soft orbital-angular-momentum (OAM) conservation term, providing an essential inductive bias toward physically consistent solutions. Across gain regimes, our method achieves high-fidelity reconstruction with average JSD of 1.96e-3, WEMD of 1.54e-3, and KL divergence of 7.85e-3, delivering an approximate 128-fold speedup over full numerical simulation and more than 30% accuracy gains over U-Net baselines. These results demonstrate that physics-guided learning, via a soft OAM-conservation regularizer and physically generated training targets, enables rapid and data-efficient modal characterization. Compared with traditional numerical simulation, our mesh-free method has demonstrated good generalization with limited or contaminated training data and has enabled fast "online" prediction of the quantum dynamics of a high-dimensional entanglement system for real-world experimental implementation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03482
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning high-dimensional quantum entanglement through physics-guided neural networks
Xu, Yang
Zhang, Hao
Zhang, Wenwen
Niu, Luchang
Kulkarni, Girish
Amooei, Mahtab
Carbajo, Sergio
Boyd, Robert W.
Quantum Physics
High-gain spontaneous parametric down-conversion (SPDC) produces bright squeezed vacuum with rich high-dimensional entanglement, but its output is inherently multimodal and non-perturbative, making the full modal characterization a major computational bottleneck. We propose a physics-guided deep neural network that reconstructs the source's modal fingerprint: the high-dimensional correlation signature across radial and azimuthal indices. We designed a FiLM-modulated convolutional architecture that predicts the joint (m,l) distribution, and training is driven by a hybrid loss that couples data-driven metrics (JSD, KL, MSE, Wasserstein) with a soft orbital-angular-momentum (OAM) conservation term, providing an essential inductive bias toward physically consistent solutions. Across gain regimes, our method achieves high-fidelity reconstruction with average JSD of 1.96e-3, WEMD of 1.54e-3, and KL divergence of 7.85e-3, delivering an approximate 128-fold speedup over full numerical simulation and more than 30% accuracy gains over U-Net baselines. These results demonstrate that physics-guided learning, via a soft OAM-conservation regularizer and physically generated training targets, enables rapid and data-efficient modal characterization. Compared with traditional numerical simulation, our mesh-free method has demonstrated good generalization with limited or contaminated training data and has enabled fast "online" prediction of the quantum dynamics of a high-dimensional entanglement system for real-world experimental implementation.
title Learning high-dimensional quantum entanglement through physics-guided neural networks
topic Quantum Physics
url https://arxiv.org/abs/2604.03482