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| 001 | 1008243 | ||
| 005 | 20231027114406.0 | ||
| 024 | 7 | _ | |a 10.22331/q-2023-06-07-1037 |2 doi |
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| 100 | 1 | _ | |a Old, Josias |0 P:(DE-Juel1)192118 |b 0 |e Corresponding author |u fzj |
| 245 | _ | _ | |a Generalized Belief Propagation Algorithms for Decoding of Surface Codes |
| 260 | _ | _ | |a Wien |c 2023 |b Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
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| 520 | _ | _ | |a Belief propagation (BP) is well-known as a low complexity decoding algorithm with a strong performance for important classes of quantum error correcting codes, e.g. notably for the quantum low-density parity check (LDPC) code class of random expander codes. However, it is also well-known that the performance of BP breaks down when facing topological codes such as the surface code, where naive BP fails entirely to reach a below-threshold regime, i.e. the regime where error correction becomes useful. Previous works have shown, that this can be remedied by resorting to post-processing decoders outside the framework of BP. In this work, we present a generalized belief propagation method with an outer re-initialization loop that successfully decodes surface codes, i.e. opposed to naive BP it recovers the sub-threshold regime known from decoders tailored to the surface code and from statistical-mechanical mappings. We report a threshold of 17% under independent bit-and phase-flip data noise (to be compared to the ideal threshold of 20.6%) and a threshold value of 14% under depolarizing data noise (compared to the ideal threshold of 18.9%), which are on par with thresholds achieved by non-BP post-processing methods. |
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| 700 | 1 | _ | |a Rispler, Manuel |0 P:(DE-Juel1)187504 |b 1 |e Corresponding author |u fzj |
| 773 | _ | _ | |a 10.22331/q-2023-06-07-1037 |g Vol. 7, p. 1037 - |0 PERI:(DE-600)2931392-2 |p 1037 - |t Quantum |v 7 |y 2023 |x 2521-327X |
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