A control pulse scan needs both matching rows and the between-gaps off row. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Pulse scans must show both nearby gaps

The neighbor gap is 4 and the target gap is 6. A middle pulse is not treated as a partial transition.

ΔEn=4,ΔEt=6\Delta E_n=4,\quad \Delta E_t=6
Middle pulse misses both gapsThe off row is rendered between the two matched rows.lowhigh6lowhigh4target offneighbor off

Three pulse rows separate neighbor, off, and target

The table scans one pulse value at a time. The response column is derived from exact equality to a displayed gap.

ΔEnpΔEtresponse446neighbor456off466target\begin{array}{c|c|c|c}\Delta E_n&p&\Delta E_t&\text{response}\\4&4&6&\text{neighbor}\\4&5&6&\text{off}\\4&6&6&\text{target}\\\end{array}
Pulse match scanThe middle row has no checked transition.lowhigh6lowhigh4target offneighbor off

The target row matches only the target gap

When the pulse is 6, it equals the target gap and does not equal the neighbor gap.

6=6,646=6,\quad 6\neq4
Target match rowOnly the target panel is marked matched.lowhigh6lowhigh4target matchedneighbor off

This is a discrete control target, not a lineshape

The scan claims exact match and mismatch rows only. It does not claim linewidth, pulse shape, crosstalk, or Rabi dynamics.

p=ΔEmatch,pΔEoffp=\Delta E\Rightarrow\text{match},\quad p\neq\Delta E\Rightarrow\text{off}
Pulse-scan scope auditThe helper rejects hidden hardware parameters.lowhigh6lowhigh4target offneighbor off