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For questions related to positive-operator valued measures (POVMs), that is, sets of positive semi-definite operators summing to the identity matrix.

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Is there a rank-1 POVM on qubits with $4$ outcomes that is not extremal but such that its re...

Finally, by a well-known fact due to Parthasarathy, which the question alludes to, a POVM $\bigl\{\frac{1}{2}\vert\psi_1\rangle\langle\psi_1\vert, \ldots, \frac{1}{2}\vert\psi_4\rangle\langle\psi_4\vert …
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