Quantum quasi-cyclic code[1]

Description

A block code on \(n\) subsystems such that cyclic shifts of the subsystems by \(\ell\) leave the codespace invariant.

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References

[1]
M. Hagiwara and H. Imai, “Quantum Quasi-Cyclic LDPC Codes”, 2007 IEEE International Symposium on Information Theory (2007) arXiv:quant-ph/0701020 DOI
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Zoo Code ID: quantum_quasi_cyclic

Cite as:
“Quantum quasi-cyclic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_quasi_cyclic
BibTeX:
@incollection{eczoo_quantum_quasi_cyclic, title={Quantum quasi-cyclic code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_quasi_cyclic} }
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Cite as:

“Quantum quasi-cyclic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_quasi_cyclic

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/properties/block/symmetric/quantum_quasi_cyclic.yml.