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Why minimum weight in the minimum weight perfect matching?

More weight corresponds to less probability. You're trying to guess the most likely error (max probability, min weight) so you want the min weight matching.
Craig Gidney's user avatar
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How can we decode non CSS codes like XZZX code with Pymatching?

Where are you getting the idea CSS codes are "more matchable"? That's not true. I'm not even sure why you'd think it's true. The XZZX and CSS surface codes have identical decoding graph ...
Craig Gidney's user avatar
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