Surface codes rely on stabilizer measurements to identify errors. I've been looking at d=5 grids. The decoding overhead is still the biggest challenge.
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I've been looking at the syndrome extraction cycles for the distance-3 surface code. Is there a specific reason you didn't use the rotated layout to save on qubit count?
I'm skeptical about the 'non-Markovian' claims. Most noise we see in transmons is dominated by T1 relaxation which is fairly Markovian at the scale of a single gate. Have you subtracted the pulse distortion effects?
From a hardware perspective, the wiring density for a surface code is a nightmare. How does the 0.4% threshold change if we account for the heat load of the additional microwave lines?