\([[7, 1:1, 3]]\) hybrid stabilizer code[1] 

Description

A distance-three seven-qubit hybrid stabilizer code storing one qubit and one classical bit. Admits a stabilizer generator set with a weight-two generator, which delineates the underlying classical code [2; Eq. (3)].

Parents

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) (2017) arXiv:1701.06963 DOI
[2]
A. Nemec and A. Klappenecker, “Infinite Families of Quantum-Classical Hybrid Codes”, (2020) arXiv:1911.12260
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Zoo Code ID: hybrid_7_1-1_3

Cite as:
“\([[7, 1:1, 3]]\) hybrid stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/hybrid_7_1-1_3
BibTeX:
@incollection{eczoo_hybrid_7_1-1_3, title={\([[7, 1:1, 3]]\) hybrid stabilizer code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/hybrid_7_1-1_3} }
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https://errorcorrectionzoo.org/c/hybrid_7_1-1_3

Cite as:

“\([[7, 1:1, 3]]\) hybrid stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/hybrid_7_1-1_3

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/oa/hybrid_7_1-1_3.yml.