Definition: Resource vector

We record

Here $G$ is the worst-history elementary unitary gate count and $D$ the instruction depth including destructive readouts. Outcome storage $C_{\mathrm{cl}}$ excludes the fixed programme description.

When a construction requires $U^{\ast }$ or $U^T$, their counts $n_{U^{\ast }},n_{U^T}$ are reported additionally. These operations are not identified with $U$ or $U^{†}$. The external-storage ledger accompanies $\mathbf{C}$.