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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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Zoo Code ID: ea_galois_into_galois

Cite as:
“EA Galois-qudit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/ea_galois_into_galois
BibTeX:
@incollection{eczoo_ea_galois_into_galois, title={EA Galois-qudit code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, 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.), 2024. https://errorcorrectionzoo.org/c/ea_galois_into_galois

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