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EA Galois-qudit code

Root code for the Galois-qudit Kingdom

Description

Galois-qudit code designed to utilize pre-shared entanglement between sender and receiver.

Cousin

  • Galois-qudit code— EA Galois-qudit codes utilize additional ancillary Galois qudits in a pre-shared entangled state, but reduce to ordinary Galois-qudit codes when said qudits are interpreted as noiseless physical qudits.

Member of code lists

Primary Hierarchy

Quantum Domain
Galois-qudit Kingdom
Parents
Entanglement-assisted (EA) QECCQuantum
EA Galois-qudit code
Children
EA qubit code
EA Galois-qudit codes reduce to EA qubit codes for \(q=2\).
EA Galois-qudit stabilizer code
EA MDS code
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Your contribution is welcome!

on github.com (edit & pull request)

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Zoo Code ID: ea_galois_into_galois

Cite as:
“EA Galois-qudit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/ea_galois_into_galois, arXiv:2606.11484
BibTeX:
@incollection{eczoo_ea_galois_into_galois,
title={EA Galois-qudit 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_galois_into_galois}
}
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Permanent link:
https://errorcorrectionzoo.org/c/ea_galois_into_galois

Cite as:

“EA Galois-qudit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/ea_galois_into_galois, arXiv:2606.11484

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