Jason Chadwick
Jason D. Chadwick
Quantum computing Ph.D. student
University of Chicago

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Figure 9. Extra code distance needed to tolerate Direct events of varying radius (assuming perfect decoder knowledge). Three plots show logical error rate as a function of ray radius, showing that larger rays degrade code distance more. Blue dashed line indicates $d=7$ error rate in the no-ray case. Each error rate plot shows the larger of either logical idle error rate (selected for $f_{T_1}=0.1$) or T rotation lattice surgery error rate (selected for $f_{T_1}=0.01$ and $0.001$), both obtained via Stim simulation. Bottom right: We can extract the required additional code distance for a given ray radius and strength. This determines the overhead of the Code expansion baseline.