Photonic Audit Click Floor Boundary Scan - Quantum Mechanics IV: Photons, Interferometers, and Optical Qubits Step by Step

A photonic audit click floor scan ties energy, splitter, interferometer, detector, and rail sources into one chain, then checks that detected clicks meet a minimum floor. The three rows give click counts 2, 4, and 6 against floor 4, yielding margins -2, 0, and 2 (fail, pass, pass) exactly for the stated toy audit ledger; real photonic experiments have detector efficiency, dark and background clicks, loss calibration, and finite-shot uncertainty.

An end-to-end photonic audit carries source counts into a click floor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The audit feeds bright-port counts into the detector

The end-to-end audit ties energy, splitter, interferometer, detector, and rail sources together.

m=N_{\text{click}}-N_{\min}

Three audited source counts bracket the click floor

The middle row reaches the click floor while preserving every source reference.

\begin{array}{c|c|c|c}N_{\text{src}}&N_{\text{click}}&m&\text{gate}\\4&2&-2&\text{fail}\\8&4&0&\text{pass}\\12&6&2&\text{pass}\\\end{array}

The larger audited packet clears the click floor

The photonic audit helper checks the same count fields that the table compares.

m=2\quad \text{pass}