Designing fault-tolerant circuits using detector error models
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917071922659328 |
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| author | Derks, Peter-Jan H. S. Townsend-Teague, Alex Burchards, Ansgar G. Eisert, Jens |
| author_facet | Derks, Peter-Jan H. S. Townsend-Teague, Alex Burchards, Ansgar G. Eisert, Jens |
| contents | Quantum error-correcting codes, such as subspace, subsystem, and Floquet codes, are typically constructed within the stabilizer formalism, which does not fully capture the idea of fault-tolerance needed for practical quantum computing applications. In this work, we explore the remarkably powerful formalism of detector error models, which fully captures fault-tolerance at the circuit level. We introduce the detector error model formalism in a pedagogical manner and provide several examples. Additionally, we apply the formalism to three different levels of abstraction in the engineering cycle of fault-tolerant circuit designs: finding robust syndrome extraction circuits, identifying efficient measurement schedules, and constructing fault-tolerant procedures. We enhance the surface code's resistance to measurement errors, devise short measurement schedules for color codes, and implement a more efficient fault-tolerant method for measuring logical operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13826 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Designing fault-tolerant circuits using detector error models Derks, Peter-Jan H. S. Townsend-Teague, Alex Burchards, Ansgar G. Eisert, Jens Quantum Physics Quantum error-correcting codes, such as subspace, subsystem, and Floquet codes, are typically constructed within the stabilizer formalism, which does not fully capture the idea of fault-tolerance needed for practical quantum computing applications. In this work, we explore the remarkably powerful formalism of detector error models, which fully captures fault-tolerance at the circuit level. We introduce the detector error model formalism in a pedagogical manner and provide several examples. Additionally, we apply the formalism to three different levels of abstraction in the engineering cycle of fault-tolerant circuit designs: finding robust syndrome extraction circuits, identifying efficient measurement schedules, and constructing fault-tolerant procedures. We enhance the surface code's resistance to measurement errors, devise short measurement schedules for color codes, and implement a more efficient fault-tolerant method for measuring logical operators. |
| title | Designing fault-tolerant circuits using detector error models |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.13826 |