The detuning scan compares each candidate square with the target square 1 and a tolerance of 1. Distances 3/4 and 1 are accepted, including the equality row, while distance 4 is outside the boundary and rejects. Real superconducting qubit tuning also involves calibrated frequencies, drift, linewidth, noise, finite shots, and uncertainty, so this is a pinned boundary ledger.
Exact candidate rows show accepted, boundary accepted, and rejected detuning decisions. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Candidate square 1/4 has distance 3/4
The target square is 1. Candidate square 1/4 has distance 3/4 from the target, with tolerance 1.
41−1=43,accepted=1
Candidate square 2 has distance 1
The target square is 1. Candidate square 2 has distance 1 from the target, with tolerance 1.
∣2−1∣=1,accepted=1
Candidate square 5 has distance 4
The target square is 1. Candidate square 5 has distance 4 from the target, with tolerance 1.
∣5−1∣=4,accepted=0
The boundary accepts equality and rejects the far candidate
Distance three fourths accepts. Distance one is exactly on the boundary and also accepts. Distance four is outside the same tolerance and rejects.