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LionSR/README.md

Sirui Lu 👋

I build agent harnesses for theoretical research, using symbolic computation and Lean proofs to check agents’ work. Physics PhD candidate at MPQ / TU Munich, advised by J. Ignacio Cirac.

Looking for research scientist / research engineer roles in reasoning, agents, and AI for science. Email me.

🤖 Agents and formal verification

  • TeXRA: I designed and built a multi-agent harness with Wolfram algebra and Lean proof checking. TypeScript; editor extensions and CLI; specialist agents for derivation, computation, and review.
  • FormalFlow / MIPStarRE: with collaborators, formalized quantum soundness of the classical low individual-degree test, a core theorem underlying MIP* = RE. 63-day proof effort; 126,367 lines of Lean in the later study snapshot. Paper
  • Quantum-code discovery: co-designed 14,116 Lean-certified quantum error-correcting codes using agents, symbolic computation, and search. Paper
  • TNLean / QICLean: tensor-network and quantum-information theory in Lean 4/Mathlib, including the fundamental theorem of matrix-product states. Paper
  • Agentic Publication Protocol: papers packaged with code, data, and instructions for research agents. With Xiao-Liang Qi.

⚛️ Physics and machine learning

I study quantum cooling, finite-energy quantum simulation, and neural and tensor-network representations.

With Max Welling and Lars Holdijk, I co-authored Generative AI and Stochastic Thermodynamics: A Tale of Free Energies (Cambridge University Press, 2026).

Website · Publications · Google Scholar · Email

Popular repositories Loading

  1. TNLean TNLean Public

    Tensor-network theory, formalized in Lean 4: the fundamental theorem of matrix product states, canonical forms, parent Hamiltonians, matrix-product density operators, and projected entangled pair s…

    Lean 39 4

  2. TeXRA TeXRA Public

    TeXRA — an AI theorist (math, physics, computer science). VS Code extension and terminal CLI.

    TypeScript 33 2

  3. AgenticPublicationProtocol AgenticPublicationProtocol Public

    Paper Publication Protocol — publish papers as AI agents

    Python 17

  4. QICLean QICLean Public

    Quantum information and channels, formalized in Lean 4: quantum states and entanglement theory, channel representations, Kadison-Schwarz theory, quantum Perron-Frobenius and spectral theory, GKSL s…

    Lean 8 1

  5. MIPStarRE MIPStarRE Public

    Lean 7 2

  6. mcp-apple mcp-apple Public

    TypeScript 5 5