Two-dimensional Hyperbolic RNN Neural Quantum State

arXiv:2606.25600 · quant-ph, cond-mat.dis-nn, cs.LG, physics.comp-ph · Submitted 2026-06-24 · Read on arXiv

quant-ph, cond-mat.dis-nn, cs.LG, physics.comp-ph

Submitted: 2026-06-24

Updated: 2026-10-10

Comments: v2: more descriptions added regarding the training details of hyperbolic NQS models, more references added, typos corrected

Code: https://github.com/lorrespz/hypnqs

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 2× in this paper · explained in 2 episodes
• Phase Transition — 1× in this paper · explained in 3 episodes
• Quantum Physics — 1× in this paper · explained in 12 episodes

Sources

• Solving the Quantum Many-Body Problem with Artificial Neural Networks
• Accelerate Monte Carlo Simulations with Restricted Boltzmann Machines
• Approximating quantum many-body wave-functions using artificial neural networks
• Machine learning technique to find quantum many-body ground states of bosons on a lattice
• Solving frustrated quantum many-particle models with convolutional neural networks
• High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
• Supplementing Recurrent Neural Network Wave Functions with Symmetry and Annealing to Improve Accuracy
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Variational Monte Carlo with Large Patched Transformers
• Transformer neural networks and quantum simulators: a hybrid approach for simulating strongly correlated systems
• Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatz
• Generating Counterfactual Patient Timelines from Real-World Data
• Hyperbolic Neural Networks
• HyperCore: The Core Framework for Building Hyperbolic Foundation Models with Comprehensive Modules
• Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architectures
• Fully Hyperbolic Neural Networks
• Hyperbolic Deep Neural Networks: A Survey
• Hyperbolic Attention Networks
• A Fully Hyperbolic Neural Model for Hierarchical Multi-Class Classification
• Hyperbolic Neural Networks++

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