Fast erasure decoder for hypergraph product codes
Quantum Physics
2024-08-28 v3 Information Theory
math.IT
Abstract
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.
Keywords
Cite
@article{arxiv.2208.01002,
title = {Fast erasure decoder for hypergraph product codes},
author = {Nicholas Connolly and Vivien Londe and Anthony Leverrier and Nicolas Delfosse},
journal= {arXiv preprint arXiv:2208.01002},
year = {2024}
}
Comments
11 pages