Decoding correlated errors in quantum LDPC codes.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 41832150.
- Also identified by DOI 10.1038/s41467-026-70556-3.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We introduce a decoding framework for correlated errors in quantum LDPC codes under circuit-level noise. Our approach is a graph augmentation and rewiring for inference (GARI) method, which modifies the correlated detector error model by eliminating 4-cycles involving Y-type errors, while preserving the equivalence of the decoding problem. A normalized min-sum decoder with a hybrid serial-layered schedule is applied on the transformed graph, achieving high accuracy with low latency. Performance is further enhanced (on par with XYZ-Relay-BP) through ensemble decoding, where 24 randomized normalized min-sum decoders run in parallel on the transformed graph. For the distance 12 Bivariate Bicycle code the logical error rate of (6.70 ± 1.93) × 10<sup>-9</sup> is achieved at a physical error rate of 10<sup>-3</sup>. Furthermore, preliminary FPGA implementation results show that such high accuracy can be achieved in real time, with a per-round average decoding latency of 273 ns and sub-microsecond latency in 99.99% of the decoding instances.