Lift-connected surface (LCS) code[1] 

Description

Member of one of several families of lifted-product codes that consist of sparsely interconnected stacks of surface codes.

Protection

Code distance is linear with \(n\) up to some maximum number of qubits.

Code Capacity Threshold

\(2.9\%\) and \(3.2\%\) under phenomenological noise and BP+OSD decoding for two families of LCS codes.

Threshold

\(6.7\%\) and \(7.7\%\) under bit-flip noise and BP+OSD decoding for two families of LCS codes.

Parent

Child

  • Kitaev surface code — LCS codes consist of sparsely interconnected stacks of surface codes.

References

[1]
J. Old, M. Rispler, and M. Müller, “Lift-Connected Surface Codes”, (2024) arXiv:2401.02911
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Zoo Code ID: lcs

Cite as:
“Lift-connected surface (LCS) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/lcs
BibTeX:
@incollection{eczoo_lcs, title={Lift-connected surface (LCS) code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/lcs} }
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Permanent link:
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Cite as:

“Lift-connected surface (LCS) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/lcs

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