Equivariant Continuous Normalizing Flows with Offline Sampling for Fermionic Ground State Estimation

arXiv:2607.18486 · quant-ph · Submitted 2026-07-20 · Read on arXiv

quant-ph

Submitted: 2026-07-20

Updated: 2026-10-09

Terminology

• Accuracy — 16× in this paper · explained in 1 episode
• Deep Sets — 16× in this paper
• Normalizing Flow — 14× in this paper · explained in 3 episodes
• Pairwise Deep Sets — 12× in this paper
• Normalizing Flows — 10× in this paper · explained in 4 episodes
• Trace — 9× in this paper · explained in 2 episodes
• Pairwise Deep Sets Gradient — 6× in this paper
• Aggregation — 5× in this paper · explained in 1 episode
• FermiNet Vector Fields — 5× in this paper
• Benchmark — 4× in this paper · explained in 2 episodes
• Hyperparameters — 4× in this paper · explained in 2 episodes
• Decoupling — 3× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Optimal Transport — 2× in this paper · explained in 5 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Variational Monte Carlo (VMC) — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 4 episodes
• Distribution Shift — 1× in this paper · explained in 7 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Many-Body Effects — 1× in this paper · explained in 2 episodes
• PID Controller — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Structural Constraints — 1× in this paper · explained in 2 episodes

Sources

• A Self-Attention Ansatz for Ab-initio Quantum Chemistry
• Accurate Ab-initio Neural-network Solutions to Large-Scale Electronic Structure Problems
• Quantum states from normalizing flows
• Improved Ground State Estimation in Quantum Field Theories via Normalising Flow-Assisted Neural Quantum States
• OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transport

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