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Golden code[1]

Description

Variant of the Guth-Lubotzky hyperbolic surface code that uses regular tessellations for 4-dimensional hyperbolic space.

Protection

Nonvanishing rate and asymptotic distance lower bounded by \(n^0.1\).

Rate

Nonvanishing rate and asymptotic distance lower bounded by \(n^0.1\). However, the smallest number of physical qubits in this family is 234,000.

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
Homological code
Hyperbolic surface code
Guth-Lubotzky code
Parents
Guth-Lubotzky code
Golden code

References

[1]
Quantum Information and Computation 19, (2019) arXiv:1712.08578 DOI
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Zoo Code ID: golden_code

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/topological/surface/hyperbolic/golden.yml.