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4D lattice stabilizer code

Description

Lattice stabilizer code in four Euclidean dimensions.

Cousin

Member of code lists

Primary Hierarchy

Quantum Domain
Group quantum Kingdom
Group-based quantum codeQECC Quantum
Stabilizer codeHamiltonian-based QECC Quantum
Quantum low-weight check (QLWC) codeQECC Quantum
Quantum LDPC (QLDPC) codeQECC Quantum
Quasi-cyclic QLDPC (QC-QLDPC) codeQECC Quantum
Lattice stabilizer code
Parents
Lattice stabilizer code
4D lattice stabilizer code
Children
\(D_4\) hyper-diamond GKP code
\([[16,6,4]]\) Tesseract color code
\((1,3)\) 4D toric code
\((2,2)\) Loop toric code

References

[1]
B. Royer, S. Singh, and S. M. Girvin, “Encoding Qubits in Multimode Grid States”, PRX Quantum 3, (2022) arXiv:2201.12337 DOI
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Zoo Code ID: 4d_stabilizer

Cite as:
“4D lattice stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/4d_stabilizer
BibTeX:
@incollection{eczoo_4d_stabilizer, title={4D lattice stabilizer code}, booktitle={The Error Correction Zoo}, year={2026}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/4d_stabilizer} }
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Permanent link:
https://errorcorrectionzoo.org/c/4d_stabilizer

Cite as:

“4D lattice stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/4d_stabilizer

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/groups/stabilizer/lattice/4d_stabilizer.yml.