Hypersphere product code[1]

Description

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Cousin

  • Quantum locally testable code (QLTC) — The hypersphere product code family has asymptotically diminishing soundness that scales as order \(O(1/(\log n)^2)\), locality of stabilizer generators scaling as order \(O(\log n)\), and distance \(\Theta(\sqrt{n})\).

References

[1]
M. B. Hastings, “Quantum Codes from High-Dimensional Manifolds”, (2016) arXiv:1608.05089
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Zoo Code ID: hypersphere_product

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qubits/topological/surface/higher_dim_surface/hypersphere_product.yml.