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

P. K. Aravind
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Abstract

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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P. K. Aravind. 2001-09-05. Optimal quantum measurements for spin-1 and spin-3/2 particles. https://arxiv.org/abs/quant-ph/0105037

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