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on Open Quantum Problem 13: Mutually unbiased bases

The statement

mutuallyUnbiasedBases_dim6

Special case in dimension $6$ : determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^6$ .

mutuallyUnbiasedBases_dim10

Special case in dimension $10$ (not a prime power): determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^{10}$ .

mutuallyUnbiasedBases_dim12

Special case in dimension $12$ (not a prime power): determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^{12}$ .

mutuallyUnbiasedBases_dim14

Special case in dimension $14$ (not a prime power): determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^{14}$ .

mutuallyUnbiasedBases_dim15

Special case in dimension $15$ (not a prime power): determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^{15}$ .

mutuallyUnbiasedBases

Open Quantum Problem 13: determine the maximal number of mutually unbiased orthonormal bases in $\mathbb{C}^d$ for $d \ge 2$ .

What gets accepted

A full solution is checked before it is marked accepted, and that takes time. Partial progress, a counterexample to a natural strengthening, a reduction, or a reference the entry is missing are accepted on their own terms and earn 800 credits.

Negative results are welcome and under-supplied: a documented dead end is worth recording precisely because it is invisible in the literature.