Thresholds for post-selected quantum error correction from statistical mechanics
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908546077032448 |
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| author | English, Lucas H. Williamson, Dominic J. Bartlett, Stephen D. |
| author_facet | English, Lucas H. Williamson, Dominic J. Bartlett, Stephen D. |
| contents | We identify regimes where post-selection can be used scalably in quantum error correction (QEC) to improve performance. We use statistical mechanical models to analytically quantify the performance and thresholds of post-selected QEC, with a focus on the surface code. Based on the non-equilibrium magnetization of these models, we identify a simple heuristic technique for post-selection that does not require a decoder. Along with performance gains, this heuristic allows us to derive analytic expressions for post-selected conditional logical thresholds and abort thresholds of surface codes. We find that such post-selected QEC is characterised by four distinct thermodynamic phases, and detail the implications of this phase space for practical, scalable quantum computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thresholds for post-selected quantum error correction from statistical mechanics English, Lucas H. Williamson, Dominic J. Bartlett, Stephen D. Quantum Physics We identify regimes where post-selection can be used scalably in quantum error correction (QEC) to improve performance. We use statistical mechanical models to analytically quantify the performance and thresholds of post-selected QEC, with a focus on the surface code. Based on the non-equilibrium magnetization of these models, we identify a simple heuristic technique for post-selection that does not require a decoder. Along with performance gains, this heuristic allows us to derive analytic expressions for post-selected conditional logical thresholds and abort thresholds of surface codes. We find that such post-selected QEC is characterised by four distinct thermodynamic phases, and detail the implications of this phase space for practical, scalable quantum computation. |
| title | Thresholds for post-selected quantum error correction from statistical mechanics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.07598 |