An inequality, similar to Kraus's proposal proved by Maassen and Uffink, concerning the lower limit for the sum of entropies for unbiased quantum measurements is given. The author shows that Sigma N+1 i=1 S(W (i) )>or=(N+1) ln((N+1)/2) where W (i) are results of N+1 mutually unbiased measurements performed on the same initial state.
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I D Ivanovic (1992) studied this question.
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