survival-phase-chain-boundary-scan - Quantum Measurement and Coherence Windows Step by Step

The survival-phase chain first closes retained plus lost shots, then feeds the retained shots into a phase-visibility budget. The three rows show the visible-count boundary: one row clears it, one lands exactly on the floor, and the final row falls below even though the source counts still reconcile. Real coherence scans need loss accounting, phase calibration, visibility fits, detector efficiency, finite-shot noise, and uncertainty.

Retained survival counts feed phase visibility before a visible-count gate. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Survival retained shots feed visibility

Each row first closes retained plus lost shots, then uses retained shots as the phase budget input.

N_{\text{visible}}\ge20

Three chained rows show the visible-count boundary

The middle row lands exactly on the visible-count floor; the last row falls below it.

\begin{array}{c|c|c|c}N_{\text{ret}}&N_{\text{coh}}&N_{\text{vis}}&m\\80&60&30&10\\60&40&20&0\\40&10&10&-10\\\end{array}

The final chain fails the visible-count floor

The source budgets still close, but the computed visible count leaves a negative margin.

m=-10\quad \text{fail}