Higher-dimensional surface code[1]

Description

A family of Kitaev surface codes on planar or toric surfaces of dimension greater than two. Stub.

Decoding

Improved BP-OSD decoder [2].

Threshold

Phenomenological noise model for the 4D toric code: \(4.3\%\) under improved BP-OSD decoder [2].

Parent

Children

Cousins

References

[1]
E. Dennis et al., “Topological quantum memory”, Journal of Mathematical Physics 43, 4452 (2002) arXiv:quant-ph/0110143 DOI
[2]
O. Higgott and N. P. Breuckmann, “Improved single-shot decoding of higher dimensional hypergraph product codes”, (2022) arXiv:2206.03122
[3]
R. Alicki et al., “On thermal stability of topological qubit in Kitaev’s 4D model”, (2008) arXiv:0811.0033
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Zoo Code ID: higher_dimensional_surface

Cite as:
“Higher-dimensional surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/higher_dimensional_surface
BibTeX:
@incollection{eczoo_higher_dimensional_surface, title={Higher-dimensional surface code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/higher_dimensional_surface} }
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Cite as:

“Higher-dimensional surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/higher_dimensional_surface

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qubits/topological/surface/higher_dimensional_surface.yml.