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Dithered Belief Propagation for Real-Time Quantum Memory Decoding
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arXiv:2611.07144v1 Announce Type: cross Abstract: We introduce dithered belief-propagation decoding for circuit-level quantum memory to mitigate the oscillations and trapping behavior that limit standard belief-propagation (BP) decoders for qLDPC codes. Our approach combines a quantum-adapted sign-flip mechanism with chained randomized prior perturbation. Evaluated under circuit-level noise on the distance-11 rotated surface code and the distance-12 bivariate-bicycle code, the proposed dithered decoder significantly outperforms BP and BP+OSD+CS-10. The proposed decoder achieves accuracy comparable to or better than state-of-the-art Relay-BP, especially at higher physical error rates, while trading a moderate increase in additions for about 98% fewer multiplications on average and eliminating node-level RNGs. These results suggest that dithering is a promising approach toward real-time decoding of quantum memories.
Source:https://arxiv.org/abs/2611.07144PreviousServer-Side Sparse Assignment for Federated Mixture-of-ExpertsNextGoal Revelation as a Bridge Between Information-Theoretic Empowerment and Capability-Based Human Power
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