A four-replica Fourier–Walsh projection maps clean-model critical couplings to Nishimori thresholds, yielding closed-form estimates for Ising, Potts, and Z_q clock surface-code decoding.
Nishimori Threshold Es- timation for Bayesian Inference andZ q Surface Code Decod- ing
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Nishimori Threshold Estimation for Bayesian Inference and $\mathbb{Z}_q$ Surface Code Decoding
A four-replica Fourier–Walsh projection maps clean-model critical couplings to Nishimori thresholds, yielding closed-form estimates for Ising, Potts, and Z_q clock surface-code decoding.