Readout thresholding turns a shifted resonator index into a measured bit. With base index 8 and threshold 9, shift 0 reads 0, while shifts 1 and 2 reach indices 9 and 10 and read 1. Real readout includes amplifier noise, calibration drift, assignment errors, finite shots, and threshold uncertainty around this exact comparison.
Three shifted readout rows show below-threshold, equality, and above-threshold behavior. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Shift 0 gives readout bit 0
Base index 8 plus shift 0 gives observed index 8 against threshold 9.
8+0=8,bit=0
Shift 1 gives readout bit 1
Base index 8 plus shift 1 gives observed index 9 against threshold 9.
8+1=9,bit=1
Shift 2 gives readout bit 1
Base index 8 plus shift 2 gives observed index 10 against threshold 9.
8+2=10,bit=1
The threshold turns a shifted resonator into a bit
Observed eight is below threshold and reads zero. Observed nine is equality and reads one. Observed ten remains one.