Fig. 5: Logical phase-flip error rate for the cellular automaton code with the stabilizer shape presented in Fig. 2a.
From: LDPC-cat codes for low-overhead quantum computing in 2D

The lattice size is set as H = 3 and L = 10 which corresponds to a code of distance 7. The circuit-level noise model is considered and p designates the physical error rate on every gate and idle location in the circuit. The maximum number of iterations of the belief propagation varies showing that this parameter does not play a significant role in the decoding process. The min-sum method is used and the scaling factor is set to 0.625.