Fast erasure decoder for hypergraph product codes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866916371351207936 |
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| author | Connolly, Nicholas Londe, Vivien Leverrier, Anthony Delfosse, Nicolas |
| author_facet | Connolly, Nicholas Londe, Vivien Leverrier, Anthony Delfosse, Nicolas |
| contents | We propose a decoder for the correction of erasures with hypergraph product codes, which form one of the most popular families of quantum LDPC codes. Our numerical simulations show that this decoder provides a close approximation of the maximum likelihood decoder that can be implemented in O(N^2) bit operations where N is the length of the quantum code. A probabilistic version of this decoder can be implemented in O(N^1.5) bit operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01002 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fast erasure decoder for hypergraph product codes Connolly, Nicholas Londe, Vivien Leverrier, Anthony Delfosse, Nicolas Quantum Physics Information Theory We propose a decoder for the correction of erasures with hypergraph product codes, which form one of the most popular families of quantum LDPC codes. Our numerical simulations show that this decoder provides a close approximation of the maximum likelihood decoder that can be implemented in O(N^2) bit operations where N is the length of the quantum code. A probabilistic version of this decoder can be implemented in O(N^1.5) bit operations. |
| title | Fast erasure decoder for hypergraph product codes |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2208.01002 |