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on Fault tolerance with budgeted correlated noise

The statement

For explicitly budgeted spatially/temporally correlated or adversarial noise, establish fault-tolerance thresholds and space-time overhead bounds for two- or three-dimensional local architectures. Specify local dimension, strength/correlation or per-step corruption budget, logical width and depth, total failure probability $\varepsilon$ , and classical decoding time; aim for qubit implementations with useful constants.

What gets accepted

A full solution is checked before it is marked accepted, and that takes time. Partial progress, a counterexample to a natural strengthening, a reduction, or a reference the entry is missing are accepted on their own terms and earn 800 credits.

Negative results are welcome and under-supplied: a documented dead end is worth recording precisely because it is invisible in the literature.