Deeper Calibration Scale Scans

Readout Signal Threshold Three-Row Scan

zero, repeat, one

A threshold decision is only trusted after endpoint and equality rows are visible. 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 readout threshold only means something with endpoints

The calibrated zero endpoint is 2, the threshold is 5, and the one endpoint is 8.

sz=2,T=5,so=8s_z=2,\quad T=5,\quad s_o=8
Readout threshold endpointsThe tie row sits exactly on the threshold.zero signal 2one signal 8threshold 5input 5 reads repeat

Three signal rows expose the repeat boundary

The low endpoint, equality row, and high endpoint are all shown. Equality returns repeat instead of guessing zero or one.

szsTsoresult2258zero2558repeat2858one\begin{array}{c|c|c|c|c}s_z&s&T&s_o&\text{result}\\2&2&5&8&\text{zero}\\2&5&5&8&\text{repeat}\\2&8&5&8&\text{one}\\\end{array}
Signal threshold scanThe equality row is the repeat case.zero signal 2one signal 8threshold 5input 5 reads repeat

The high endpoint is above threshold

The high row has signal 8, which is above threshold 5, so the displayed result is one.

8>5⇒∣1⟩8>5\Rightarrow \lvert 1\rangle
High readout rowThe high endpoint reads one by the threshold rule.zero signal 2one signal 8threshold 5input 8 reads one

Threshold rows are not a noise distribution

This finite model only checks endpoint, boundary, and endpoint. Histograms, drift, and stochastic detector noise are deferred.

s<T⇒∣0⟩,s=T⇒repeat,s>T⇒∣1⟩s<T\Rightarrow \lvert 0\rangle,\quad s=T\Rightarrow\text{repeat},\quad s>T\Rightarrow \lvert 1\rangle
Threshold scope auditThe helper owns the equality rule.zero signal 2one signal 8threshold 5input 5 reads repeat