Optimal quantum measurements for spin-1 and spin-3/2 particles

Physics – Quantum Physics

Scientific paper

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12 pages, 3 figures. Some small slips have been corrected and some new references added

Scientific paper

Positive operator valued measures (POVMs) are presented that allow an unknown pure state of a spin-1 particle to be determined with optimal fidelity when 2 to 5 copies of that state are available. Optimal POVMs are also presented for a spin-3/2 particle when 2 or 3 copies of the unknown state are available. Although these POVMs are optimal they are not always minimal, indicating that there is room for improvement.

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