Resources and complete errors

A $p$-qubit payload route uses $n$ register SWAPs and $(n+1)p$ reserved route qubits. Every fresh clock, finite signal, supplier holding, workspace, and returned register is separately charged. External untouched references are listed in their own storage ledger.

For any finite compatible implementation,

Replace one channel factor at a time, use contraction under channel composition, and apply the triangle inequality Watrous,En08B. All comparisons retain their classical and quantum outputs.

A small complete-channel error does not prove exact causal containment or validity of an incorrect supplied numerical enclosure.