The coherent fraction of surviving shots scales the ideal visible signal, so fewer coherent shots means fewer visible counts at the readout. Starting from 50 ideal visible counts, the three rows with coherent fractions 4/5, 3/5, and 2/5 give 40, 30, and 20 visible counts exactly for the stated toy ledger; real experiments add decoherence, contrast loss, calibration drift, and finite-shot uncertainty.

Phase loss changes visible signal by a coherent fraction, not by relabeling shots. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four fifths coherence keeps forty visible counts

With 64 coherent shots out of 80, the coherent fraction is 4/5. The ideal visible count 50 scales to 40.

50⋅45=4050\cdot\frac{4}{5}=40
Phase-retention scan rowVisible counts follow the coherent fraction.4/5coherent1/5dephasedphase loss

Three fifths coherence gives the capstone signal

The capstone row has 48 coherent and 32 dephased shots. That ratio turns 50 ideal visible counts into 30.

50⋅35=3050\cdot\frac{3}{5}=30
Phase-retention scan rowThe middle row matches the open-system audit.3/5coherent2/5dephasedphase loss

Two fifths coherence leaves twenty visible counts

If coherent shots fall to 32 out of 80, the same ideal signal produces only 20 visible counts.

50⋅25=2050\cdot\frac{2}{5}=20
Phase-retention scan rowThree rows separate phase loss from population loss.2/5coherent3/5dephasedphase loss