Resource ledger and implementation errors

With a two-qubit clock and $p$-qubit payload registers, all route blanks may be reserved before readout. The laboratory quantum peak is at most

After clock consumption it is at most $p(m+1)$. There are two clock-record bits and, after the terminal probe readout, one additional binary record. An $r$-qubit untouched reference contributes $r$ to the separate external-storage ledger. Preinstalled tables, locations, settings, and the route schedule are classical resources.

In a compatible implementation comparison, define the half-diamond distance

If the preparation and final decoding errors are at most ${ϵ}_{\mathrm{in}},{ϵ}_{\mathrm{out}}$, and the complete tick errors are at most ${ϵ}_j$, then

Indeed, replace one compatible factor at a time in the composed channel and use diamond-norm contraction under channel composition. This is a conditional error ledger, not an assertion that implementation errors have been measured.