Fractal surface code[1,2] 

Description

Kitaev surface code on a fractal geometry, which is obtained by removing qubits from the surface code on a cubic lattice.

Parent

  • Homological code — Fractal surface codes are obtained by removing qubits from the surface code on a cubic lattice.

References

[1]
G. Zhu, T. Jochym-O’Connor, and A. Dua, “Topological Order, Quantum Codes, and Quantum Computation on Fractal Geometries”, PRX Quantum 3, (2022) arXiv:2108.00018 DOI
[2]
A. Dua, T. Jochym-O'Connor, and G. Zhu, “Quantum error correction with fractal topological codes”, Quantum 7, 1122 (2023) arXiv:2201.03568 DOI
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Zoo Code ID: fractal_surface

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/topological/surface/higher_d/fractal_surface.yml.