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PSI says its research system proved the Aaronson-Ambainis conjecture

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PSI says its internal research system, running a non-public Anthropic model, found a proof of the Aaronson-Ambainis conjecture, open since 2008, and Lean, a proof assistant, accepted it. The system then improved the result twice, and Lean accepted the final version. Stanford’s Guy Blanc, Jordan Docter, Carmen Strassle and Li-Yang Tan are reading PSI’s proof and writing a shorter exposition for experts.

Why it matters

If PSI’s proof holds, quantum complexity researchers have a settled answer: on yes-or-no questions about random strings, a quantum computer gains no exponential saving unless the string has a rare pattern.

When
6 Nov 2026
ID
WTA-N-2026-0782
Who
Physical Superintelligence (PSI), Anthropic, Stanford University

Summary written with AI by wheresthe.ai, from PSI and the reporting credited above. Checked against the source on 6 Nov 2026.

Source copy: saved on 6 Nov 2026 to check this story and not republished, because the text belongs to its publisher. Also held by the Internet Archive.

Earlier in this Storyline: What led hereOpenAI and Anthropic each say their models refuted the Exponential Time Hypothesis

Cite this story

WTA-N-2026-0782: “PSI says its research system proved the Aaronson-Ambainis conjecture.” wheresthe.ai, 6 Nov 2026. https://wheresthe.ai/d/intl-psi-says-its-research-system-proved-the-aaronson-ambain-2026-11/ (source: PSI).

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