Prove HadamardCubeFiber (openai/math family 266: Exactly three mutually unbiased bases in dimension six) in…
Prove HadamardCubeFiber (openai/math family 266: Exactly three mutually unbiased bases in dimension six) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 266 of the release, Exactly three mutually unbiased bases in dimension six…
The task
Context: this statement belongs to family 266 of the release, *Exactly three mutually unbiased bases in dimension six* (Mathematical physics). The family as a whole: Proves $N(6)=3$, resolving Zauner\textquotesingle s dimension-six mutually unbiased bases conjecture: three such bases exist in $\mathbb C^6$, but four…
Part of raising-heart/openai-math.