AI & ML
Fully Parallelized BP Decoding for Quantum LDPC Codes Can Outperform BP-OSD
arXiv math.IT0 views
arXiv:2507.00254v4 Announce Type: replace-cross Abstract: This work presents a hardware-efficient and fully parallelizable decoder for quantum LDPC codes that leverages belief propagation (BP) with a speculative post-processing strategy inspired by classical Chase decoding algorithm. By monitoring bit-level oscillation patterns during BP, our method identifies unreliable bits and generates multiple candidate vectors to selectively flip syndromes. Each modified syndrome is then decoded independently using short-depth BP, a process we refer to as BP-SF (syndrome flip). This design eliminates the need for costly Gaussian elimination used in the current BP-OSD approaches. Our implementation achieves logical error rates comparable to or better than BP-OSD while offering significantly lower latency due to its high degree of parallelism for a variety of bivariate bicycle codes. Evaluation on the $[[144,12,12]]$ bivariate bicycle code shows that the proposed decoder reduces average latency to approximately 70% of BP-OSD. When post-processing is parallelized the average latency is reduced to 55% compared to the single process implementation, with the maximum latency reaching as low as 18%. These advantages make it particularly well-suited for real-time and resource-constrained quantum error correction systems.
Source:https://arxiv.org/abs/2507.00254PreviousCoded Computing for Dynamic System via Cartesian ProductsNextMulti-Functional Chirp Signalling for Next-Generation Multi-Carrier Wireless Networks: Communications, Sensing and ISAC Perspectives
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