Pure positive operator-valued measure
= Pure positive operator-valued measure
= Pure POVM
{synonym}
A <POVM> whose nonzero effects have rank one, $E_i=w_i|\psi_i\rangle\langle\psi_i|$, with normalized <pure states> and $w_i>0$. Completeness is $\sum_iw_i|\psi_i\rangle\langle\psi_i|=I$. This use of pure concerns effect rank, and does not mean an extremal point in the convex set of all POVMs.