Isaac Kim: "shocking list" of quantum-information and many-body results

Posted 23:02 UTC. Kim (quantum information, computation and many-body physics) calls it "a shocking list of problems" in his field and picks five: a 2D area law, the spin-one Haldane gap, parity not in QAC^0, the constant-error Aaronson–Kuperberg conjecture, and unitary VOAs generating conformal nets. "Things are changing fast. I cannot even imagine what will happen over the next few months, let alone a year." ~60k views.

This contains a shocking list of problems in quantum information, many-body physics and quantum computing, the field that are dear to my heart. There are too many, but let me pick the following.

1. Proof of area law in 2D.
2. Spin-one Haldane gap
3. Parity is not in QAC^0
4. Constant-error Aaronson-Kuperberg conjecture
5. Unitary VOAs generating conformal nets.

Things are changing fast. I cannot even imagine what will happen over the next few months, let alone a year.

Quoting @OpenAI: We’re releasing a broad range of new mathematical results produced by an internal frontier model.

We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and public recommendations to inform how we release these results.

https://github.com/openai/math

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Archived 2026-10-07 via fxtwitter (unofficial).