\([[2^r-1, 2^r-2r-1, 3]]_p\) quantum Hamming code[1] 

Description

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

Parents

Child

References

[1]
A. J. Moorthy and L. G. Gunderman, “Local-dimension-invariant Calderbank-Shor-Steane Codes with an Improved Distance Promise”, (2021) arXiv:2110.11510
Page edit log

Your contribution is welcome!

on github.com (edit & pull request)— see instructions

edit on this site

Zoo Code ID: qudit_hamming_css

Cite as:
\([[2^r-1, 2^r-2r-1, 3]]_p\) quantum Hamming 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={\([[2^r-1, 2^r-2r-1, 3]]_p\) quantum Hamming code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qudit_hamming_css} }
Share via:
Twitter | Mastodon |  | E-mail
Permanent link:
https://errorcorrectionzoo.org/c/qudit_hamming_css

Cite as:

\([[2^r-1, 2^r-2r-1, 3]]_p\) quantum Hamming 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/edit/main/codes/quantum/qudits/qudit_hamming_css.yml.