A Restricted Boltzmann Machine with Quantum-State Visible Units

arXiv:2609.19619 · quant-ph · Submitted 2026-09-17 · Read on arXiv

quant-ph

Submitted: 2026-09-17

Updated: 2026-09-17

Code: https://github.com/Mob-137/quantum-rbm-state-learning

Terminology

• Feature Extraction — 6× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Ambient Dimension — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• I of the Supplemental Material — 1× in this paper
• Restricted Boltzmann Machine (RBM) — 1× in this paper · explained in 3 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Rapid mixing in positively weighted restricted Boltzmann machines
• Hidden Unit Interpretability in RBM Quantum States:Encoding Antiferromagnetic Order in Heisenberg Spin Rings
• Solving Classical and Quantum Spin Glasses with Deep Boltzmann Quantum States
• Probabilistic Computers for Neural Quantum States
• Investigation of D-Wave quantum annealing for training Restricted Boltzmann Machines and mitigating catastrophic forgetting
• CaRBM: A Fixed-Depth Quantum Algorithm with Partial Correction for Thermal State Preparation
• Quantum measurements and the Abelian Stabilizer Problem

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