A bright ion scatters enough fluorescence photons to cross a fixed count threshold, so the readout classifies it as bit 1. The count 12 against threshold 10 gives result bit 1 exactly for the stated bright-state and threshold ledger; real readout has photon-count shot noise, state-preparation error, threshold drift, detector efficiency, background counts, and calibration uncertainty.

Bright-state fluorescence is a checked threshold result. 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 readout cites a checked internal state

The cited state bit is 1 before the photon count is interpreted.

bstate=1b_{\text{state}}=1
Bright-state fluorescence sourceThe readout state comes from the trap ledger.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=2 packetmodeSpacing=2 JmotionalEnergy=4 JreadoutBit=1 bit

Bright state crosses the count threshold

The count is 12 against threshold 10, giving result bit 1.

12≥10⇒112\ge 10\Rightarrow 1
Bright-state fluorescenceThe count, threshold, and result are checked together.photonCount=12 countthreshold=10 countresultBit=1 bit