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Degenerate Viterbi decoding

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arxiv 1204.2439 v1 pith:LDET64VM submitted 2012-04-11 quant-ph

classification quant-ph
keywords decodingalgorithmdegenerateerrorscodesconvolutionalerrorprobability
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We present a decoding algorithm for quantum convolutional codes that finds the class of degenerate errors with the largest probability conditioned on a given error syndrome. The algorithm runs in time linear with the number of qubits. Previous decoding algorithms for quantum convolutional codes optimized the probability over individual errors instead of classes of degenerate errors. Using Monte Carlo simulations, we show that this modification to the decoding algorithm results in a significantly lower block error rate.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression

    quant-ph 2026-07 accept novelty 8.0 of 10

    For a stabilizer code with an ideal error-correction gadget, correlated coherent Z-noise induces an exact logical channel whose performance depends on the chosen stabilizer eigenspace; choosing that eigenspace optimal...

  2. Approximating optimal decoding of quantum LDPC codes with narrow frontiers

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    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 wi...

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