Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916127845646336 |
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| author | Yi, Zhengzhong Liang, Zhipeng Chen, Jiahan Wang, Zicheng Wang, Xuan |
| author_facet | Yi, Zhengzhong Liang, Zhipeng Chen, Jiahan Wang, Zicheng Wang, Xuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold Yi, Zhengzhong Liang, Zhipeng Chen, Jiahan Wang, Zicheng Wang, Xuan Quantum Physics 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. |
| title | Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.09648 |