Long-range enhanced surface code (LRESC)[1] 

Description

Code constructed using the hypergraph product of two copies of a concatenated LDPC-repetition code. This family interpolates between surface codes and hypergraph codes since the hypergraph product of two repetition codes yields the planar surface code.

Parent

Cousin

  • Kitaev surface code — LRESCs reduce to planar surface codes when a trivial LDPC code is used in the hypergraph product.

References

[1]
Y. Hong et al., “Long-range-enhanced surface codes”, (2024) arXiv:2309.11719
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Zoo Code ID: lresc

Cite as:
“Long-range enhanced surface code (LRESC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/lresc
BibTeX:
@incollection{eczoo_lresc, title={Long-range enhanced surface code (LRESC)}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/lresc} }
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Cite as:

“Long-range enhanced surface code (LRESC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/lresc

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/qldpc/concatenated/lresc.yml.