Complete-channel telescoping

For a frozen instance, suppose ordinary gate $j$ has allowance ${\eta }_j$, oracle call $k$ has allowance ${\omega }_k$, and initialization, encoding, decoding, routing, and final declared readout have allowances ${\eta }_{\mathrm{init}},{\eta }_{\mathrm{enc}},{\eta }_{\mathrm{dec}},{\eta }_{\mathrm{route}},{\eta }_{\mathrm{read}}$. If an independent certificate gives

then the implemented logical channel obeys

The value suggested by the documentary full-diamond tolerance is $s=1/4$, if independently established for the instance.

The allowances must be valid on the actual common interfaces. Independent fresh-environment errors are one sufficient model. Persistent hidden memory must instead be included in the compared interface or controlled by an appropriate multi-time certificate.