Sliding-window decoding of topological quantum codes is effectively described by a parity-conserving reaction-diffusion process in which the decoding rate 1/W acts as a relevant perturbation, yielding exponential memory-time scaling in the window size.
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Kinetics of sliding-window quantum error correction
Sliding-window decoding of topological quantum codes is effectively described by a parity-conserving reaction-diffusion process in which the decoding rate 1/W acts as a relevant perturbation, yielding exponential memory-time scaling in the window size.