accepted-readout-capacity-three-row-scan - Quantum Measurement and Coherence Windows Step by Step

An accepted readout capacity scan checks that the number of accepted readout shots does not exceed the coherent-shot budget supplied upstream, so requesting more than available fails the gate. The rows request 30, 45, and 50 against a 45-shot coherent budget, giving margins 15, 0, and -5 (pass, pass, fail) exactly for the stated toy count ledger; real readout has coherent-fraction estimation error, assignment noise, and finite-shot statistics.

Accepted readout requests must fit the coherent source budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Accepted readouts cannot exceed the coherent budget

The upstream phase budget supplies the coherent count. The accepted readout request is checked against that source.

N_{\text{accepted}}\le N_{\text{coh}}

Three accepted-readout requests bracket the coherent count

The middle row uses the whole coherent budget. The final request is too large.

\begin{array}{c|c|c|c}N_{\text{request}}&N_{\text{coh}}&m&\text{gate}\\30&45&15&\text{pass}\\45&45&0&\text{pass}\\50&45&-5&\text{fail}\\\end{array}

The final request is not passed to the audit helper

The prediction can be counted, but the source-bound audit would reject more accepted readouts than coherent shots.

m=-5\quad \text{fail}