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Quantum tensor-product code[1,2]

Description

CSS code constructed from a tensor code. In some cases, only one of the classical codes forming the tensor code needs to be self-orthogonal.

Protection

If one of the classical codes forming the tensor code protects against burst errors, the resulting quantum code does also [2].

Cousins

References

[1]
M. Grassl and M. Rotteler, “Quantum block and convolutional codes from self-orthogonal product codes”, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005. 1018 (2005) arXiv:quant-ph/0703181 DOI
[2]
J. Fan, Y. Li, M.-H. Hsieh, and H. Chen, “On Quantum Tensor Product Codes”, (2017) arXiv:1605.09598
[3]
P. J. Nadkarni, P. Jayakumar, A. Behera, and S. S. Garani, “Entanglement-assisted Quantum Reed-Muller Tensor Product Codes”, Quantum 8, 1329 (2024) arXiv:2303.08294 DOI
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Cite as:

“Quantum tensor-product code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/quantum_tensor_product

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