Mean king's problem with mutually unbiased bases and orthogonal Latin squares
arXiv:quant-ph/0502092 · doi:10.1103/PhysRevA.71.052331
Abstract
The mean king's problem with maximal mutually unbiased bases (MUB's) in general dimension d is investigated. It is shown that a solution of the problem exists if and only if the maximal number (d+1) of orthogonal Latin squares exists. This implies that there is no solution in d=6 or d=10 dimensions even if the maximal number of MUB's exists in these dimensions.
5 pages, 1 figure, v2: typos corrected. journal version