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EAOA qubit code[1]

Root code for the Qubit Kingdom

Description

Entanglement-assisted qubit code in the operator-algebra framework. This family encompasses ordinary entanglement-assisted subspace qubit codes, entanglement-assisted subsystem qubit codes, entanglement-assisted hybrid qubit codes, and their operator-algebra generalizations.

Cousin

  • OA qubit code— EAOA qubit codes utilize additional ancillary qubits in a pre-shared entangled state, but reduce to ordinary OA qubit codes when said qubits are interpreted as noiseless physical qubits.

Primary Hierarchy

Parents
An EAOA QECC defined over qubits is an EAOA qubit code.
EAOA qubit code
Children
An EAOA qubit code with no gauge or block structure is an EA qubit code.
EAOA qubit stabilizer codes are EAOA qubit codes described within a generalized stabilizer formalism.

References

[1]
P. J. Nadkarni, S. Adonsou, G. Dauphinais, D. W. Kribs, and M. Vasmer, “Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction”, (2024) arXiv:2411.14389
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Zoo Code ID: eaoa_qubits_into_qubits

Cite as:
“EAOA qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/eaoa_qubits_into_qubits
BibTeX:
@incollection{eczoo_eaoa_qubits_into_qubits, title={EAOA qubit code}, booktitle={The Error Correction Zoo}, year={2026}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/eaoa_qubits_into_qubits} }
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Permanent link:
https://errorcorrectionzoo.org/c/eaoa_qubits_into_qubits

Cite as:

“EAOA qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/eaoa_qubits_into_qubits

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/eaoa/eaoa_qubits_into_qubits.yml.