Fast erasure decoder for hypergraph product codes
Nicholas Connolly, Vivien Londe, Anthony Leverrier, Nicolas Delfosse · Quantum · 2024
We propose a decoder for the correction of erasures with hypergraph product codes, which form one of the most popular families of quantum LDPC codes. Our numerical simulations show that this decoder provides a close approximation of the maximum likelihood decoder that can be implemented in O ( N 2 ) bit operations where N is the length of the quantum code. A probabilistic version of this decoder can be implemented in O ( N 1.5 ) bit operations.