OpenAI's Lean Formalization Proves Weaker Bound for Mutually Unbiased Bases in Dimension Six

MarioKrenn6240 · x · 2026-10-07

OpenAI's math repo on GitHub contains a Lean formalization related to the claim that at most three mutually unbiased bases exist in C^6. Notably, the formalization only proves a weaker bound of five members, not the paper's bound of three. It also establishes a cancellation lemma for order-six complex Hadamard matrices, illustrating both the progress and limits of AI-assisted math formalization.

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