Camara-Ollivier-Tillich code[1] 

Description

A Hermitian qubit QLDPC code whose stabilizer generator matrix is constructed using two nested subgroups of \(GF(4)^n\).

Examples include a \((4,8)\)-regular 8736-qubit code and a \((4,8)\)-regular 3600-qubit code, both of rate one half.

Decoding

Iterative error estimation based on the MIN-SUM and SUM-PRODUCT algorithms [1].

Parent

References

[1]
T. Camara, H. Ollivier, and J.-P. Tillich, “Constructions and performance of classes of quantum LDPC codes”, (2005) arXiv:quant-ph/0502086
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Zoo Code ID: hermitian_qldpc

Cite as:
“Camara-Ollivier-Tillich code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/hermitian_qldpc
BibTeX:
@incollection{eczoo_hermitian_qldpc, title={Camara-Ollivier-Tillich code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/hermitian_qldpc} }
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Permanent link:
https://errorcorrectionzoo.org/c/hermitian_qldpc

Cite as:

“Camara-Ollivier-Tillich code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/hermitian_qldpc

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/hermitian/hermitian_qldpc.yml.