Selective Resonance Scan - Quantum Computing Physical Bases: Control, Coupling, and Error Signals Step by Step

A control pulse is checked against both the target transition and a neighboring transition. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A pulse must be compared with nearby gaps

The target gap is 3/4 and the neighboring gap is 5/4. A pulse value is useful only after both comparisons are checked.

\Delta_{\text{target}}=\frac{3}{4},\quad \Delta_{\text{neighbor}}=\frac{5}{4}

The first row selects the target only

A pulse of 3/4 matches the target and misses the neighbor. The diagram marks the target side as matched, not both sides.

p=\frac{3}{4}\Rightarrow \text{target yes, neighbor no}

Three pulse values expose the selectivity boundary

The middle pulse is between the two gaps and triggers neither transition. The last pulse proves that selecting the neighbor is a different physical claim.

\begin{array}{c|c|c}p&\text{target}&\text{neighbor}\\\frac{3}{4}&\text{yes}&\text{no}\\1&\text{no}&\text{no}\\\frac{5}{4}&\text{no}&\text{yes}\\\end{array}

Selectivity is a two-gap audit, not a label

The scan keeps the control knob honest: matching one gap is not permission to say every nearby transition was controlled.

\text{one pulse row}\rightarrow\text{two checked comparisons}