The single-pass streaming interface

For the lower bound, arbitrary single-qubit instruments and arbitrary classical computation are permitted at one-live-qubit capacity. For the constructive benchmark, the exact library is

together with zero-state allocation, destructive computational readout, classical control, and return. Any two laboratory qubits may interact. A classically selected Pauli costs at most one gate. This is not a quantum-controlled Pauli gate convention.

Batch access places the whole accessible register in the laboratory initially. In particular, $e$ batch early-radiation qubits already force peak at least $e$.