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Hsieh-Halasz (HH) code[1]

Description

Member of one of two families of fracton codes, named HH-I and HH-II, defined on a cubic lattice with two qubits per site. HH-I (HH-II) is a CSS (non-CSS) stabilizer code family, with the former identified as a foliated type-I fracton code [2].

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Qubit codeQECC Quantum
Union stabilizer (USt) codeQECC Quantum
Qubit stabilizer codeStabilizer Hamiltonian-based Qubit QECC Quantum
Parents
Qubit stabilizer code
Fracton stabilizer codeLattice stabilizer QLDPC Stabilizer Hamiltonian-based QECC Quantum
Both HH-I and HH-II are fracton codes, with HH-I identified as a foliated type-I fracton code [2].
Hsieh-Halasz (HH) code

References

[1]
T. H. Hsieh and G. B. Halász, “Fractons from partons”, Physical Review B 96, (2017) arXiv:1703.02973 DOI
[2]
A. Dua, I. H. Kim, M. Cheng, and D. J. Williamson, “Sorting topological stabilizer models in three dimensions”, Physical Review B 100, (2019) arXiv:1908.08049 DOI
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Zoo Code ID: hh_fracton

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

Cite as:

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

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