Proposition: A separately declared discharge endpoint

Append one fresh radiation cell and a pulse of area $\pi /2$ to each memory mechanism. The resulting survival probability is zero, the final memory is $|0{⟩}^{\otimes K}$, and radiation recovery is exact.

Proof. Each appended survival factor is ${\cos }^2(\pi /2)=0$. Apply Theorem thm:B2 and Corollary thm:B5.