Mitigating errors in logical qubits
Abstract Quantum error correcting codes can enable large quantum computations provided physical error rates are sufficiently low. We combine post-selection with surface code error correction through the use of exclusive decoders, which abort on decoding instances that are deemed too difficult. For t...
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Nature Portfolio
2024-11-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-024-01883-4 |
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| author | Samuel C. Smith Benjamin J. Brown Stephen D. Bartlett |
| author_facet | Samuel C. Smith Benjamin J. Brown Stephen D. Bartlett |
| author_sort | Samuel C. Smith |
| collection | DOAJ |
| description | Abstract Quantum error correcting codes can enable large quantum computations provided physical error rates are sufficiently low. We combine post-selection with surface code error correction through the use of exclusive decoders, which abort on decoding instances that are deemed too difficult. For the most discriminating of exclusive decoders, we demonstrate a threshold of 50% under depolarizing noise (or 32(1)% for the fault-tolerant case), and up to a quadratic improvement in logical failure rates below threshold. Furthermore, with a modest exclusion criterion, we identify a regime at low error rates where the exclusion rate decays with code distance, providing a pathway for scalable and time-efficient quantum computing with post-selection. Our exclusive decoder applied to magic state distillation yields a 75% reduction in the number of physical qubits, and a 60% reduction in the total spacetime volume, including accounting for repetitions. Other applications include error mitigation, and in concatenated schemes. |
| format | Article |
| id | doaj-art-702a408c54b744f6a8ec02eef7eea34d |
| institution | DOAJ |
| issn | 2399-3650 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj-art-702a408c54b744f6a8ec02eef7eea34d2025-08-20T02:49:17ZengNature PortfolioCommunications Physics2399-36502024-11-017111010.1038/s42005-024-01883-4Mitigating errors in logical qubitsSamuel C. Smith0Benjamin J. Brown1Stephen D. Bartlett2Centre for Engineered Quantum Systems, School of Physics, University of SydneyIBM Quantum, T. J. Watson Research CenterCentre for Engineered Quantum Systems, School of Physics, University of SydneyAbstract Quantum error correcting codes can enable large quantum computations provided physical error rates are sufficiently low. We combine post-selection with surface code error correction through the use of exclusive decoders, which abort on decoding instances that are deemed too difficult. For the most discriminating of exclusive decoders, we demonstrate a threshold of 50% under depolarizing noise (or 32(1)% for the fault-tolerant case), and up to a quadratic improvement in logical failure rates below threshold. Furthermore, with a modest exclusion criterion, we identify a regime at low error rates where the exclusion rate decays with code distance, providing a pathway for scalable and time-efficient quantum computing with post-selection. Our exclusive decoder applied to magic state distillation yields a 75% reduction in the number of physical qubits, and a 60% reduction in the total spacetime volume, including accounting for repetitions. Other applications include error mitigation, and in concatenated schemes.https://doi.org/10.1038/s42005-024-01883-4 |
| spellingShingle | Samuel C. Smith Benjamin J. Brown Stephen D. Bartlett Mitigating errors in logical qubits Communications Physics |
| title | Mitigating errors in logical qubits |
| title_full | Mitigating errors in logical qubits |
| title_fullStr | Mitigating errors in logical qubits |
| title_full_unstemmed | Mitigating errors in logical qubits |
| title_short | Mitigating errors in logical qubits |
| title_sort | mitigating errors in logical qubits |
| url | https://doi.org/10.1038/s42005-024-01883-4 |
| work_keys_str_mv | AT samuelcsmith mitigatingerrorsinlogicalqubits AT benjaminjbrown mitigatingerrorsinlogicalqubits AT stephendbartlett mitigatingerrorsinlogicalqubits |