coherence-window-boundary-three-row-scan - Quantum Measurement and Coherence Windows Step by Step

A coherence window boundary scan checks whether the total elapsed stage time fits inside a fixed window, with zero margin as the pass/fail edge. The rows use elapsed times 9, 10, and 11 against a 10-unit window, giving margins 1, 0, and -1 (pass, pass, fail) exactly for the stated toy timing ledger; real experiments add clock jitter, decoherence drift, stage calibration, and timing-resolution uncertainty.

Elapsed stage time is compared with the declared coherence window. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Elapsed stage time is compared with the coherence window

The same window is kept fixed; each row changes the declared stage durations.

m=T_{\text{window}}-T_{\text{elapsed}}

Three elapsed times bracket the window edge

The middle row exactly uses the whole window. The last row exceeds it.

\begin{array}{c|c|c|c}T_{\text{elapsed}}&T_{\text{window}}&m&\text{gate}\\9&10&1&\text{pass}\\10&10&0&\text{pass}\\11&10&-1&\text{fail}\\\end{array}

The final row misses the coherence window

The helper computes the elapsed time and the displayed fit state from the same durations.

m=-1\quad \text{fail}