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Positive operator valued measurements on a finite number of N identicallyprepared systems of arbitrary spin J are discussed. Pure states arecharacterized in terms of Bloch-like vectors restricted by a SU(2 J+1)covariant constraint. This representation allows for a simple description ofthe equations to be fulfilled by optimal measurements. We explicitly find theminimal POVM for the N=2 case, a rigorous bound for N=3 and set up the analysisfor arbitrary N.Comment: LateX, 12 page

Optimal generalized quantum measurements for arbitrary spin systems