I asked Claude to help me visualise the OpenAI MUBs result and it came up with (i.e., possibly hallucinated) this... claude.ai/artifact/Rzi...

Hadamard Six Atlas

Hadamard Six Atlas

claude.ai

Who here is an expert in MUBs and has looked at OpenAI's paper? Does it look legit? github.com/openai/math/...

math/preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026.pdf at main · openai/ma...

Contribute to openai/math development by creating an account on GitHub.

github.com

dlyongemallo.bsky.social@dlyongemallo.bsky.social · last mo.

I seems I've been scooped by OpenAI. I was working on MUBs over the summer, but using a very different approach than "a swarm of agents". Instead, I took a "centaur" approach of leading a small team of research agents and trying to understand/verify each step: github.com/dlyongemallo...

I seems I've been scooped by OpenAI. I was working on MUBs over the summer, but using a very different approach than "a swarm of agents". Instead, I took a "centaur" approach of leading a small team of research agents and trying to understand/verify each step: github.com/dlyongemallo...

GitHub - dlyongemallo/centaur-researcher: Human-directed, AI-executed research in quantum information, published for independent verification.

Human-directed, AI-executed research in quantum information, published for independent verification. - dlyongemallo/centaur-researcher

github.com

dlyongemallo.bsky.social@dlyongemallo.bsky.social · 2mo ago

Claim: There is no set of four mutually unbiased bases in C^6 of the form {I, H1/√6, H2/√6, H3/√6} in which every entry of H1, H2, H3 is a 24th root of unity. Equivalently: no MU quadruple in dimension six can be built from Butson Hadamard matrices in BH(6, 24).

Claim: There is no set of four mutually unbiased bases in C^6 of the form {I, H1/√6, H2/√6, H3/√6} in which every entry of H1, H2, H3 is a 24th root of unity. Equivalently: no MU quadruple in dimension six can be built from Butson Hadamard matrices in BH(6, 24).

I'm a bit surprised that apparently nobody has written about Ultimate Quantum Tic-Tac-Toe before, but I recently implemented a playable version here: yonge-mallo.net/games/uqttt/

Ultimate quantum tic-tac-toe board, before the collapse that won the upper right mini-board for O.

Who wants to send me quantum-computing-related stickers for my new(ish) laptop?