Definition: Declared complete output

For an encoding $\mathsf{Enc}:\mathbb{R}\to \mathcal{S}$, let $\mathcal{F}(a)=\Phi (\mathsf{Enc}(a))$ denote the entire declared output: every reported classical word and every returned quantum factor.

It is orbit invariant if

It is {informative about $a$} if $\mathcal{F}$ is nonconstant as a function of $a$.