Abstract：
:We propose an error correction procedure based on a cellular automaton, the sweep rule, which is applicable to a broad range of codes beyond topological quantum codes. For simplicity, however, we focus on the three-dimensional toric code on the rhombic dodecahedral lattice with boundaries and prove that the resulting local decoder has a non-zero error threshold. We also numerically benchmark the performance of the decoder in the setting with measurement errors using various noise models. We find that this error correction procedure is remarkably robust against measurement errors and is also essentially insensitive to the details of the lattice and noise model. Our work constitutes a step towards finding simple and high-performance decoding strategies for a wide range of quantum low-density parity-check codes.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Vasmer M,Browne DE,Kubica Adoi
10.1038/s41598-021-81138-2subject
Has Abstractpub_date
2021-01-21 00:00:00pages
2027issue
1issn
2045-2322pii
10.1038/s41598-021-81138-2journal_volume
11pub_type
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