Vasmer, M;
Browne, DE;
Kubica, A;
(2021)
Cellular automaton decoders for topological quantum codes with noisy measurements and beyond.
Scientific Reports
, 11
(1)
, Article 2027. 10.1038/s41598-021-81138-2.
Preview |
Text
s41598-021-81138-2.pdf - Published Version Download (2MB) | Preview |
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.
| Type: | Article |
|---|---|
| Title: | Cellular automaton decoders for topological quantum codes with noisy measurements and beyond |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1038/s41598-021-81138-2 |
| Publisher version: | https://doi.org/10.1038/s41598-021-81138-2 |
| Language: | English |
| Additional information: | © 2021 Springer Nature Limited. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Quantum information, Qubits |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10120270 |
Loading...
Loading...Loading...Loading...Archive Staff Only
 |
View Item |
