\([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code[1]

Description

A family of CSS codes extending Hamming-based CSS codes to prime qudits of dimension \(p\) by expressing the qubit code stabilizers in local-dimension-invariant (LDI) form [1].

Parent

Cousin

References

[1]
Arun J. Moorthy and Lane G. Gunderman, “Local-dimension-invariant Calderbank-Shor-Steane Codes with an Improved Distance Promise”. 2110.11510
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Zoo code information

Internal code ID: qudit_hamming_css

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Zoo Code ID: qudit_hamming_css

Cite as:
“\([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/qudit_hamming_css
BibTeX:
@incollection{eczoo_qudit_hamming_css, title={\([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qudit_hamming_css} }
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Permanent link:
https://errorcorrectionzoo.org/c/qudit_hamming_css

Cite as:

“\([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/qudit_hamming_css

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qudits/qudit_hamming_css.yml.