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EA quantum LCD code[1]

Description

An EA Galois-qudit stabilizer code constructed from an LCD code. This family includes the first asymptotically good EA Galois-qudit codes.

Rate

Asymptotically good maximal-entanglement EA Galois-qudit stabilizer codes can be constructed from LCD codes [1].

Cousins

Member of code lists

Primary Hierarchy

Quantum Domain
Galois-qudit Kingdom
EA Galois-qudit codeEAQECC Quantum
EA Galois-qudit stabilizer code
Parents
EA Galois-qudit stabilizer code
EA quantum LCD code

References

[1]
K. Guenda, S. Jitman, and T. A. Gulliver, “Constructions of Good Entanglement-Assisted Quantum Error Correcting Codes”, (2016) arXiv:1606.00134
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Zoo Code ID: ea_quantum_lcd

Cite as:
“EA quantum LCD code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/ea_quantum_lcd, arXiv:2606.11484
BibTeX:
@incollection{eczoo_ea_quantum_lcd,
title={EA quantum LCD 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/ea_quantum_lcd}
}
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Permanent link:
https://errorcorrectionzoo.org/c/ea_quantum_lcd

Cite as:

“EA quantum LCD code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/ea_quantum_lcd, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qudits_galois/ea_stabilizer/ea_quantum_lcd.yml.