Good QLDPC code

Description

Also called asymptotically good QLDPC codes. A family of QLDPC codes \([[n_i,k_i,d_i]]\) whose asymptotic rate \(\lim_{i\to\infty} k_i/n_i\) and asymptotic distance \(\lim_{i\to\infty} d_i/n_i\) are both positive.

The first good QLDPC codes are families of expander lifted-product codes, followed by quantum Tanner codes and Dinur-Hsieh-Lin-Vidick codes.

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Zoo code information

Internal code ID: good_qldpc

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Zoo Code ID: good_qldpc

Cite as:
“Good QLDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/good_qldpc
BibTeX:
@incollection{eczoo_good_qldpc, title={Good QLDPC code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/good_qldpc} }
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Permanent link:
https://errorcorrectionzoo.org/c/good_qldpc

Cite as:

“Good QLDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/good_qldpc

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/properties/qldpc/good_qldpc.yml.