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BB5 code[1]

Description

A BB code defined by weight-five measurements designed for long chains of trapped ions. Examples include \([[30,4,5]]\) and \([[48,4,7]]\) codes,

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
Coherent-parity-check (CPC) code
Qubit CSS codeCSS Stabilizer Qubit Hamiltonian-based QECC Quantum
Generalized homological-product qubit CSS codeGeneralized homological-product QLDPC CSS Stabilizer Hamiltonian-based QECC Quantum
Bivariate bicycle (BB) codeGeneralized homological-product Lattice stabilizer QLDPC CSS Stabilizer Hamiltonian-based QECC Quantum
Parents
Bivariate bicycle (BB) code
BB5 code

References

[1]
M. Ye and N. Delfosse, “Quantum error correction for long chains of trapped ions”, (2025) arXiv:2503.22071
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Zoo Code ID: bb5

Cite as:
“BB5 code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/bb5
BibTeX:
@incollection{eczoo_bb5, title={BB5 code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/bb5} }
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Permanent link:
https://errorcorrectionzoo.org/c/bb5

Cite as:

“BB5 code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/bb5

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/bb5.yml.