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Optimal generalized quantum measurements for arbitrary spin systems

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Positive-operator-valued measurements on a finite number of N identically prepared systems of arbitrary spin J are discussed. Pure states are characterized in terms of Bloch-like vectors restricted by a SU(2J+1) covariant constraint. This representation allows for a simple description of the equations to be fulfilled by optimal measurements. We explicitly find the minimal positive-operator-valued measurement for the N=2 case, a rigorous bound for N=3, and set up the analysis for arbitrary N.

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ACÍN DAL MASCHIO, Antonio, LATORRE, José Ignacio and PASCUAL, Pedro. Optimal generalized quantum measurements for arbitrary spin systems. Physical Review A. 2000. Vol. 61, num. 2. ISSN 1050-2947. [consulted: 21 of July of 2026]. Available at: https://hdl.handle.net/2445/9558

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