Separable positive operator
= Separable positive operator
{title2=$\eta_{AB}$}
= Separable operator
{synonym}
A separable positive operator is a finite sum $\eta_{AB}=\sum_y\alpha_y\otimes\beta_y$ with both factors <positive operators>. If its <trace> is one, normalizing the nonzero factors gives a <separable quantum state>. Conversely, a nonnegative scalar multiple of a <separable quantum state> is a separable positive operator.