Qubit BCH code[15] 


Qubit stabilizer code constructed from a self-orthogonal binary BCH code via the CSS construction, from a Hermitian self-orthogonal quaternary BCH code via the Hermitian construction, or by taking a Euclidean self-orthogonal BCH code over \(GF(2^m)\), converting it to a binary code, and applying the CSS construction.


Magic-state distillation protocols [6].


Semi-analytical estimates of concatenated thresholds [7]. Qubit BCH codes are difficult to study numerically [8].


Qubit BCH codes for small \(n\) are tabulated in Ref. [5].




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Quantum Information and Computation 18, (2018) arXiv:1709.02789 DOI
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G. G. La Guardia, “New families of asymmetric quantum BCH codes”, Quantum Information and Computation 11, 239 (2011) DOI
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Zoo Code ID: quantum_bch

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“Qubit BCH code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_bch
@incollection{eczoo_quantum_bch, title={Qubit BCH code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_bch} }
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“Qubit BCH code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_bch

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