Hyperbolic Restricted Boltzmann Machine Neural Quantum State

arXiv:2609.26032 · quant-ph, cond-mat.dis-nn, cs.LG · Submitted 2026-09-22 · Read on arXiv

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

Submitted: 2026-09-22

Updated: 2026-09-30

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

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

Terminology

• Entanglement — 39× in this paper · explained in 3 episodes
• Hilbert Space — 16× in this paper · explained in 2 episodes
• Benchmark — 10× in this paper · explained in 2 episodes
• Reconstruction Error — 5× in this paper · explained in 2 episodes
• Entanglement Entropy — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Quantum Sherrington-Kirkpatrick — 3× in this paper
• Transformer — 3× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Hybrid Approach — 1× in this paper · explained in 4 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Local Optimization — 1× in this paper · explained in 2 episodes
• SYK Model — 1× in this paper · explained in 2 episodes

Sources

• Comment on "Can Neural Quantum States Learn Volume-Law Ground States?"
• 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
• 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
• Two-dimensional Hyperbolic RNN Neural Quantum State
• Hyperbolic Neural Networks
• A Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model

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