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EA QC-QLDPC code[1]

Description

One of several EA QLDPC code families constructed from classical QC-LDPC codes with girth at least six. The entanglement assistance removes the dual-containing constraint in the CSS construction, avoiding many 4-cycles while retaining SPA decoding [1].

Decoding

Sum-product algorithm (SPA) decoder [2].

Cousins

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
EAOA qubit codeQuantum
EA qubit codeEAQECC Quantum
EA qubit stabilizer codeEAQECC Quantum
EA QLDPC code
Parents
EA QLDPC code
EA QC-QLDPC code

References

[1]
M.-H. Hsieh, T. A. Brun, and I. Devetak, “Entanglement-assisted quantum quasicyclic low-density parity-check codes”, Physical Review A 79, (2009) arXiv:0803.0100 DOI
[2]
M.-H. Hsieh, W.-T. Yen, and L.-Y. Hsu, “High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement”, IEEE Transactions on Information Theory 57, 1761 (2011) arXiv:0906.5532 DOI
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Zoo Code ID: ea_qc_qldpc

Cite as:
“EA QC-QLDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/ea_qc_qldpc
BibTeX:
@incollection{eczoo_ea_qc_qldpc, title={EA QC-QLDPC code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/ea_qc_qldpc} }
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Permanent link:
https://errorcorrectionzoo.org/c/ea_qc_qldpc

Cite as:

“EA QC-QLDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/ea_qc_qldpc

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/eaoa/ea/ea_stabilizer/ea_qldpc/ea_qc_qldpc.yml.