Hsieh-Halasz-Balents (HHB) code[1] 

Description

Member of one of two families of fracton codes, named HHB model A and B, defined on a cubic lattice with two qubits per site. Both are expected to be foliated type-I fracton codes [2; Eqs. (D42-D43)].

Parents

References

[1]
G. B. Halász, T. H. Hsieh, and L. Balents, “Fracton Topological Phases from Strongly Coupled Spin Chains”, Physical Review Letters 119, (2017) arXiv:1707.02308 DOI
[2]
A. Dua et al., “Sorting topological stabilizer models in three dimensions”, Physical Review B 100, (2019) arXiv:1908.08049 DOI
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Zoo Code ID: hhb_fracton

Cite as:
“Hsieh-Halasz-Balents (HHB) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/hhb_fracton
BibTeX:
@incollection{eczoo_hhb_fracton, title={Hsieh-Halasz-Balents (HHB) code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/hhb_fracton} }
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Cite as:

“Hsieh-Halasz-Balents (HHB) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/hhb_fracton

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/fracton/hhb_fracton.yml.