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Qudit X-cube model code[1]

Description

Generalization of the X-cube model code to modular qudits.

Member of code lists

Primary Hierarchy

Quantum Domain
Modular-qudit Kingdom
Modular-qudit codeQECC Quantum
Modular-qudit USt code
Modular-qudit stabilizer codeStabilizer Hamiltonian-based QECC Quantum
Modular-qudit CSS codeCSS Stabilizer Hamiltonian-based QECC Quantum
Parents
Modular-qudit CSS code
Fracton stabilizer codeLattice stabilizer QLDPC Stabilizer Hamiltonian-based QECC Quantum
Qudit X-cube model code
Children
X-cube model code
The qudit X-cube model code reduces to the X-cube model code for \(q=2\). The X-cube model is a foliated type-I fracton code [2,3].

References

[1]
C. Lee, Y. Hu, G. Y. Cho, and H. Watanabe, “\(\mathbb{Z}_N\) generalizations of three-dimensional stabilizer codes”, (2025) arXiv:2504.09847
[2]
W. Shirley, K. Slagle, and X. Chen, “Universal entanglement signatures of foliated fracton phases”, SciPost Physics 6, (2019) arXiv:1803.10426 DOI
[3]
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: qudit_xcube

Cite as:
“Qudit X-cube model code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/qudit_xcube
BibTeX:
@incollection{eczoo_qudit_xcube, title={Qudit X-cube model code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qudit_xcube} }
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Permanent link:
https://errorcorrectionzoo.org/c/qudit_xcube

Cite as:

“Qudit X-cube model code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/qudit_xcube

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