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Hurwitz surface code[1]

Description

Homological code constructed on triangulations of Hurwitz surfaces.

Rate

Constant rate and vanishing distance [1].

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
Coherent-parity-check (CPC) code
Qubit CSS codeCSS Stabilizer Hamiltonian-based QECC Quantum
Generalized homological-product qubit CSS codeQLDPC Qubit Generalized homological-product CSS Stabilizer Hamiltonian-based QECC Quantum
Homological code
Hyperbolic surface code
Parents
Hyperbolic surface code
Hurwitz surface code

References

[1]
I. H. Kim, “Quantum codes on Hurwitz surfaces”, PhD thesis, Massachusetts Institute of Technology, 2007
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Zoo Code ID: hurwitz_surface

Cite as:
“Hurwitz surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hurwitz_surface, arXiv:2606.11484
BibTeX:
@incollection{eczoo_hurwitz_surface,
title={Hurwitz surface code},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/hurwitz_surface}
}
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Permanent link:
https://errorcorrectionzoo.org/c/hurwitz_surface

Cite as:

“Hurwitz surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hurwitz_surface, arXiv:2606.11484

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