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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 Qubit Hamiltonian-based QECC Quantum
Generalized homological-product qubit CSS codeGeneralized homological-product QLDPC CSS Stabilizer Hamiltonian-based QECC Quantum
Homological code
Parents
Homological code
Hurwitz surface code

References

[1]
Kim, Isaac Hyun. Quantum codes on Hurwitz surfaces. Diss. 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.), 2025. https://errorcorrectionzoo.org/c/hurwitz_surface
BibTeX:
@incollection{eczoo_hurwitz_surface, title={Hurwitz surface code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, 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.), 2025. https://errorcorrectionzoo.org/c/hurwitz_surface

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