Complete destructive readout

Let the inherited live clock be $C\cong {\mathbb{C}}^{2^{n_C}}$, $n_C\ge 1$, with its orthonormal calibration basis $\{|{\tau }_k⟩\}$. The finite dictionary is chosen to fit its codes, or any additional description register is charged separately. Let $S$ contain all surviving finite registers, and put