Optimal Single-Shot Decoding of Quantum Codes
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914719302942720 |
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| author | Cumitini, Aldo Tinelli, Stefano Matuz, Balázs Lázaro, Francisco Barletta, Luca |
| author_facet | Cumitini, Aldo Tinelli, Stefano Matuz, Balázs Lázaro, Francisco Barletta, Luca |
| contents | We discuss single-shot decoding of quantum Calderbank-Shor-Steane codes with faulty syndrome measurements. We state the problem as a joint source-channel coding problem. By adding redundant rows to the code's parity-check matrix we obtain an additional syndrome error correcting code which addresses faulty syndrome measurements. Thereby, the redundant rows are chosen to obtain good syndrome error correcting capabilities while keeping the stabilizer weights low. Optimal joint decoding rules are derived which, though too complex for general codes, can be evaluated for short quantum codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18138 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Optimal Single-Shot Decoding of Quantum Codes Cumitini, Aldo Tinelli, Stefano Matuz, Balázs Lázaro, Francisco Barletta, Luca Quantum Physics Information Theory 68P30 We discuss single-shot decoding of quantum Calderbank-Shor-Steane codes with faulty syndrome measurements. We state the problem as a joint source-channel coding problem. By adding redundant rows to the code's parity-check matrix we obtain an additional syndrome error correcting code which addresses faulty syndrome measurements. Thereby, the redundant rows are chosen to obtain good syndrome error correcting capabilities while keeping the stabilizer weights low. Optimal joint decoding rules are derived which, though too complex for general codes, can be evaluated for short quantum codes. |
| title | Optimal Single-Shot Decoding of Quantum Codes |
| topic | Quantum Physics Information Theory 68P30 |
| url | https://arxiv.org/abs/2310.18138 |