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Quasi-cyclic quantum code[1]

Description

A block code on \(n\) subsystems such that cyclic shifts of the subsystems by \(\ell\geq 1\) leave the codespace invariant.

Cousin

Member of code lists

Primary Hierarchy

Quantum Domain
Quantum code
Operator-algebra QECC (OAQECC)
Quantum error-correcting code (QECC)
Block quantum code
Parents
Block quantum code
Quasi-cyclic quantum code
Children
Quasi-cyclic QLDPC (QC-QLDPC) codeLattice stabilizer Twist-defect color Twist-defect surface CDSC Kitaev surface Fracton stabilizer BB
Cyclic quantum codePI

References

[1]
M. Hagiwara and H. Imai, “Quantum Quasi-Cyclic LDPC Codes”, 2007 IEEE International Symposium on Information Theory 806 (2007) arXiv:quant-ph/0701020 DOI
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Zoo Code ID: quantum_quasi_cyclic

Cite as:
“Quasi-cyclic quantum 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={Quasi-cyclic quantum 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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Permanent link:
https://errorcorrectionzoo.org/c/quantum_quasi_cyclic

Cite as:

“Quasi-cyclic quantum 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/edit/main/codes/quantum/properties/block/symmetric/quantum_quasi_cyclic.yml.