Neural Network Backflow with Low-Rank Multi-Determinant Updates

arXiv:2609.26544 · cond-mat.str-el, cond-mat.supr-con, quant-ph · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el, cond-mat.supr-con, quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Code: https://github.com/sweetpotat5/Multi-determinant-nerual-network-backflow

Terminology

• Hubbard Model — 13× in this paper · explained in 3 episodes
• Benchmark — 7× in this paper · explained in 2 episodes
• Redundancy — 5× in this paper · explained in 2 episodes
• Transformer — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Regularization — 3× in this paper · explained in 3 episodes
• Variational Monte Carlo — 3× in this paper
• Ab Initio — 2× in this paper · explained in 1 episode
• Activation Function — 2× in this paper · explained in 1 episode
• Cosine Similarity — 2× in this paper · explained in 3 episodes
• Domain Walls — 2× in this paper · explained in 2 episodes
• Gaussian Error Linear Unit — 2× in this paper
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Interpretability — 2× in this paper · explained in 15 episodes
• Transformer Architecture — 2× in this paper · explained in 2 episodes
• Attention Mechanism — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Parameter Efficiency — 1× in this paper · explained in 3 episodes
• Principal Component Analysis (PCA) — 1× in this paper · explained in 4 episodes

Sources

• Neural Network-Augmented Pfaffian Wave-functions for Scalable Simulations of Interacting Fermions
• Solving the Hubbard model with Neural Quantum States
• Comparing Symmetrized Determinant Neural Quantum States for the Hubbard Model
• Enhancing Neural Network Backflow
• An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
• Gaussian Error Linear Units (GELUs)

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