Fault-Tolerant Computing with Single Qudit Encoding
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912072791490560 |
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| author | Mezzadri, Matteo Chiesa, Alessandro Lepori, Luca Carretta, Stefano |
| author_facet | Mezzadri, Matteo Chiesa, Alessandro Lepori, Luca Carretta, Stefano |
| contents | We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit, effectively suppressing them. We demonstrate a Fault-Tolerant implementation on molecular spin qudits, showcasing nearly exponential error suppression with only linear qudit size growth. Notably, this outperforms qubit codes using thousands of units. We also outline the required properties for a generic physical system to Fault-Tolerantly implement these embedded codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10761 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fault-Tolerant Computing with Single Qudit Encoding Mezzadri, Matteo Chiesa, Alessandro Lepori, Luca Carretta, Stefano Quantum Physics Mesoscale and Nanoscale Physics We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit, effectively suppressing them. We demonstrate a Fault-Tolerant implementation on molecular spin qudits, showcasing nearly exponential error suppression with only linear qudit size growth. Notably, this outperforms qubit codes using thousands of units. We also outline the required properties for a generic physical system to Fault-Tolerantly implement these embedded codes. |
| title | Fault-Tolerant Computing with Single Qudit Encoding |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2307.10761 |