Fixed gate library

For the explicit benchmarks, ${\mathfrak{L}}_{\mathrm{Cl}}$ contains:

zero-state allocation, destructive computational readout, finite classical control, and quantum return. Any pair of laboratory qubits may interact. All these gates are exact.

The matrices are

with the usual Pauli, CNOT, and controlled-$Z$ conventions. A controlled Pauli chosen from $I,X,Y,Z$ costs at most one elementary gate. Global phases are irrelevant.

No gate-count optimality or geometric locality follows from this all-to-all library.