Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold

Zhengzhong Yi; Zhipeng Liang; Jiahan Chen; Zicheng Wang; Xuan Wang

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arXiv · 2402.09648

Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold

Zhengzhong Yi·Zhipeng Liang·Jiahan Chen·Zicheng Wang·Xuan Wang

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Abstract

The low coding rate of quantum stabilizer codes results in formidable physical qubit overhead when realizing quantum error correcting in engineering. In this letter, we propose a new class of hypergraph-product code called TGRE-hypergraph-product code. This code has constant coding rate 0.2, which is the highest constant coding rate of quantum stabilizer codes to our best knowledge. We perform simulations to test the error correcting capability TGRE-hypergraph-product code and find their code capacity noise threshold in depolarizing noise channel is around 0.096.

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Zhengzhong Yi, Zhipeng Liang, Jiahan Chen, Zicheng Wang, Xuan Wang. 2024-02-15. Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold. https://arxiv.org/abs/2402.09648

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