Perturbations of the specified dynamics

Let the implemented encoding isometry obey $\Vert {\hat{V}}_{\mathrm{enc}}-V_{\mathrm{enc}}\Vert \le e_{\mathrm{enc}}$. Let the named purified initial environment be within trace distance $e_{\mathrm{prep}}$ of the ideal preparation. Let the finite dynamics have generator deviations $\Delta H_s(t)$ over the prescribed operation intervals. Define