Finite dictionary and complete references

Let a task register $J$ have a fixed orthonormal basis $|j⟩$, and let ${\pi }_j$ be fixed task probabilities. For each valid task choose supplied values $d_j$, scales ${\sigma }_j>0$, failure probabilities $r_j$, and gains ${\nu }_j$. Prepare

All ${\pi }_j$ and spectator preparations are identical in the zero comparison. The task labels are retained.