\([[144,12,12]]\) gross code[1] 

Description

A BB QLDPC code which requires less physical and ancilla qubits (for syndrome extraction) than the surface code with the same number of logical qubits and distance. The name stems from the fact that a gross is a dozen dozen.

Rate

An ancilla-added rate of \(1/24\). In contrast, the distance-13 surface code has ancilla-added rate \(1/338\).

Decoding

The GDG sliding-window decoder [2], with a realization achieving a worst-case decoding latency of 3ms per window.

Parent

References

[1]
S. Bravyi et al., “High-threshold and low-overhead fault-tolerant quantum memory”, (2024) arXiv:2308.07915
[2]
A. Gong, S. Cammerer, and J. M. Renes, “Toward Low-latency Iterative Decoding of QLDPC Codes Under Circuit-Level Noise”, (2024) arXiv:2403.18901
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Zoo Code ID: gross

Cite as:
\([[144,12,12]]\) gross code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/gross
BibTeX:
@incollection{eczoo_gross, title={\([[144,12,12]]\) gross code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/gross} }
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Permanent link:
https://errorcorrectionzoo.org/c/gross

Cite as:

\([[144,12,12]]\) gross code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/gross

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