[Jump to code hierarchy]

Camara-Ollivier-Tillich code[1]

Description

A Hermitian qubit QLDPC code whose stabilizer generator matrix is constructed using two nested subgroups of \(\mathbb{F}_4^n\).

Examples include a \((4,8)\)-regular 8736-qubit code and a \((4,8)\)-regular 3600-qubit code, both of rate one half.

Decoding

Iterative error estimation based on the MIN-SUM and SUM-PRODUCT algorithms [1].

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Qubit codeQECC Quantum
Union stabilizer (USt) codeQECC Quantum
Qubit stabilizer codeStabilizer Hamiltonian-based Qubit QECC Quantum
Hermitian qubit codeStabilizer Hamiltonian-based QECC Quantum
Parents
Hermitian qubit code
Camara-Ollivier-Tillich code

References

[1]
T. Camara, H. Ollivier, and J.-P. Tillich, “Constructions and performance of classes of quantum LDPC codes”, (2005) arXiv:quant-ph/0502086
Page edit log

Your contribution is welcome!

on github.com (edit & pull request)

— see instructions

Zoo Code ID: hermitian_qldpc

Cite as:
“Camara-Ollivier-Tillich code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hermitian_qldpc, arXiv:2606.11484
BibTeX:
@incollection{eczoo_hermitian_qldpc,
title={Camara-Ollivier-Tillich code},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/hermitian_qldpc}
}
Share via:
Twitter | Mastodon |  | E-mail
Permanent link:
https://errorcorrectionzoo.org/c/hermitian_qldpc

Cite as:

“Camara-Ollivier-Tillich code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/hermitian_qldpc, arXiv:2606.11484

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