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\([[8, 2:1, 3]]\) hybrid stabilizer code[1]

Description

A code obtained from the \([[8,3,3]]\) Gottesman code by using one of its logical qubits as a classical bit. One can also use two logical qubits as classical bits, obtaining an \([[8,1:2,3]]\) hybrid stabilizer code.

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Primary Hierarchy

Quantum Domain
Qubit Kingdom
OA qubit codeQuantum
Hybrid qubit codeQuantum
Hybrid stabilizer codeQuantum
Parents
Hybrid stabilizer code
\([[8, 2:1, 3]]\) hybrid stabilizer code

References

[1]
M. Grassl, S. Lu, and B. Zeng, “Codes for simultaneous transmission of quantum and classical information”, 2017 IEEE International Symposium on Information Theory (ISIT) 1718 (2017) arXiv:1701.06963 DOI
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Zoo Code ID: hybrid_8_2-1_3

Cite as:
“\([[8, 2:1, 3]]\) hybrid stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hybrid_8_2-1_3, arXiv:2606.11484
BibTeX:
@incollection{eczoo_hybrid_8_2-1_3,
title={\([[8, 2:1, 3]]\) hybrid stabilizer 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/hybrid_8_2-1_3}
}
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Permanent link:
https://errorcorrectionzoo.org/c/hybrid_8_2-1_3

Cite as:

“\([[8, 2:1, 3]]\) hybrid stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hybrid_8_2-1_3, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/oa/hybrid/hybrid_stabilizer/hybrid_8_2-1_3.yml.