From Paper to Program: Specification-Guided Implementation of Quantum Many-Body Algorithms with Large Language Model

arXiv:2604.04089 · physics.comp-ph, cond-mat.str-el, cs.AI, cs.HC · Submitted 2026-04-05 · Read on arXiv

physics.comp-ph, cond-mat.str-el, cs.AI, cs.HC

Submitted: 2026-04-05

Updated: 2026-09-26

Code: https://github.com/yizhou76-sudo/DMRG-LLM

Terminology

• Benchmark — 29× in this paper · explained in 2 episodes
• Provenance — 19× in this paper · explained in 3 episodes
• Failure Modes — 14× in this paper · explained in 3 episodes
• Entanglement — 11× in this paper · explained in 3 episodes
• Foundation Model — 7× in this paper · explained in 3 episodes
• Foundation Models — 7× in this paper · explained in 7 episodes
• Matrix Product State — 7× in this paper
• Effective Hamiltonian — 6× in this paper · explained in 2 episodes
• Entanglement Entropy — 6× in this paper · explained in 2 episodes
• Ablation — 5× in this paper · explained in 1 episode
• Calibration — 4× in this paper · explained in 7 episodes
• Human-in-the-Loop — 4× in this paper · explained in 3 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Density-Matrix Renormalization Group — 2× in this paper
• Principal Investigator — 2× in this paper
• Transferability — 2× in this paper · explained in 4 episodes
• AI Agents — 1× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Entropy Collapse — 1× in this paper · explained in 2 episodes
• In-Context Learning — 1× in this paper · explained in 4 episodes
• Large Language Models (LLMs) — 1× in this paper · explained in 6 episodes
• Structural Constraints — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Topological Order — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Co-Authoring with AI: How I Wrote a Physics Paper About AI, Using AI
• Matrix Product State Representations
• TeMFpy: a Python library for converting fermionic mean-field states into tensor networks
• SciCode: A Research Coding Benchmark Curated by Scientists
• PaperBench: Evaluating AI's Ability to Replicate AI Research
• Paper2Code: Automating Code Generation from Scientific Papers in Machine Learning
• Quantum Many-Body Physics Calculations with Large Language Models
• Autonomous Quantum Simulation through Large Language Model Agents
• Infinite size density matrix renormalization group, revisited
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

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