Quantum

Dealing with low-weight errors that lead BP OSD to fail

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 23/10/2026, 04:13:24 UTC.

Briefings

Research published in October 2026 investigates why Belief Propagation combined with Ordered Statistics Decoding (BP OSD) fails on low-weight errors in Bivariate Bicycle codes. The study identifies that failures occur when error weight is significantly smaller than d/2, caused by global symmetries preventing parallel BP convergence. This failure is exacerbated in rare events where splitting methods lose ergodicity and numerical instabilities arise. Mitigation strategies involving modified update rules and implementation changes substantially improve logical error rates.

Key points

• BP OSD fails on low-weight errors in Bivariate Bicycle codes when error weight is significantly smaller than d/2.
• This failure is caused by global symmetries of the decoding graph that prevent parallel BP convergence.

Context

BP OSD is an open-source decoding tool for Quantum Low Density Parity Check (QLDPC) codes, widely used in the community. The study focuses on Bivariate Bicycle codes to understand specific failure mechanisms in low-weight error configurations.

Limitations

Evidence is limited to a single preprint (arXiv:2610.30305v1) from October 2026. Findings are preliminary and subject to further validation. No experimental data or additional case studies are provided.

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