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arxiv: quant-ph/0502092 · v2 · submitted 2005-02-15 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords existsmaximalproblembasesdimensionskinglatinmean
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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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