Single-shot code[1] 

Description

A block quantum code admitting a fault-tolerant error-correcting protocol against noisy syndrome measurements that requires a number of error-correcting rounds that is independent of the number of subsystems \(n\).

Parent

Child

Cousin

  • Generalized bicycle (GB) code — In some GB error-correcting schemes, localized syndrome measurement errors only give rise to localized errors in the correction stage. Then, a single round of measurements is enough, and fault-tolerant error correction is quantum-local [1].

References

[1]
H. Bombín, “Single-Shot Fault-Tolerant Quantum Error Correction”, Physical Review X 5, (2015) arXiv:1404.5504 DOI
[2]
A. Kubica and M. Vasmer, “Single-shot quantum error correction with the three-dimensional subsystem toric code”, Nature Communications 13, (2022) arXiv:2106.02621 DOI
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Zoo Code ID: single_shot

Cite as:
“Single-shot code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/single_shot
BibTeX:
@incollection{eczoo_single_shot, title={Single-shot code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/single_shot} }
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Cite as:

“Single-shot code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/single_shot

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/properties/block/single_shot.yml.