The Frontier decoder approximates optimal quantum LDPC decoding via narrow-frontier dynamic programming, achieving near-optimal thresholds for surface and color codes plus state-of-the-art circuit-level performance with small retained lists.
arXiv preprint arXiv:2502.16408 , year=
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4representative citing papers
A forced-gap post-selection strategy using repeated Relay-BP decoder runs improves logical error rates by over 4x on 72- and 144-qubit bivariate bicycle codes at fixed post-selection rate.
Bivariate bicycle codes achieve an asymptotic threshold of approximately 0.488 on the quantum erasure channel with BP-OSD decoding, offering modest threshold edge and 12x lower overhead than toric codes under fair baselines.
Biased-noise ancillas (phase flips only) in bicycle bivariate and cyclic hypergraph product QLDPC codes increase effective fault distance, reduce short loops, and improve logical error rate by nearly 10x at 2e-3 circuit noise when bit flips are 50x rarer.
citing papers explorer
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Approximating optimal decoding of quantum LDPC codes with narrow frontiers
The Frontier decoder approximates optimal quantum LDPC decoding via narrow-frontier dynamic programming, achieving near-optimal thresholds for surface and color codes plus state-of-the-art circuit-level performance with small retained lists.
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Forced Gap Post-Selection for Quantum LDPC Codes and their Operations
A forced-gap post-selection strategy using repeated Relay-BP decoder runs improves logical error rates by over 4x on 72- and 144-qubit bivariate bicycle codes at fixed post-selection rate.
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Fair Decoder Baselines and Rigorous Finite-Size Scaling for Bivariate Bicycle Codes on the Quantum Erasure Channel
Bivariate bicycle codes achieve an asymptotic threshold of approximately 0.488 on the quantum erasure channel with BP-OSD decoding, offering modest threshold edge and 12x lower overhead than toric codes under fair baselines.
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Untangling QLDPC Codes with Biased Noise Ancilla
Biased-noise ancillas (phase flips only) in bicycle bivariate and cyclic hypergraph product QLDPC codes increase effective fault distance, reduce short loops, and improve logical error rate by nearly 10x at 2e-3 circuit noise when bit flips are 50x rarer.