Mean king's problem with mutually unbiased bases and orthogonal Latin squares

Details Mean king's problem with mutually unbiased bases and orthogonal Latin squares Mean king's problem with mutually unbiased bases and orthogonal Latin squares

2005-02-15

arxiv.org/abs/quant-ph/0502092v2

Phys. Rev. A71, 052331 (2005)

Physics

Quantum Physics

5 pages, 1 figure, v2: typos corrected. journal version

Scientific paper

10.1103/PhysRevA.71.052331

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.

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