Low-overhead fault-tolerant quantum computation by gauging logical operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918450896568320 |
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| author | Williamson, Dominic J. Yoder, Theodore J. |
| author_facet | Williamson, Dominic J. Yoder, Theodore J. |
| contents | Quantum computation must be performed in a fault-tolerant manner to be realizable in practice. Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead. Existing schemes for fault-tolerant logical measurement do not always achieve low qubit overhead. Here we present a low-overhead method to implement fault-tolerant logical measurement in a quantum error-correcting code by treating the logical operator as a symmetry and gauging it. The gauging measurement procedure introduces a high degree of flexibility that can be leveraged to achieve a qubit overhead that is linear in the weight of the operator being measured up to a polylogarithmic factor. This flexibility also allows the procedure to be adapted to arbitrary quantum codes. Our results provide a new, more efficient, approach to performing fault-tolerant quantum computation, making it more tractable for near-term implementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Low-overhead fault-tolerant quantum computation by gauging logical operators Williamson, Dominic J. Yoder, Theodore J. Quantum Physics Strongly Correlated Electrons Quantum computation must be performed in a fault-tolerant manner to be realizable in practice. Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead. Existing schemes for fault-tolerant logical measurement do not always achieve low qubit overhead. Here we present a low-overhead method to implement fault-tolerant logical measurement in a quantum error-correcting code by treating the logical operator as a symmetry and gauging it. The gauging measurement procedure introduces a high degree of flexibility that can be leveraged to achieve a qubit overhead that is linear in the weight of the operator being measured up to a polylogarithmic factor. This flexibility also allows the procedure to be adapted to arbitrary quantum codes. Our results provide a new, more efficient, approach to performing fault-tolerant quantum computation, making it more tractable for near-term implementation. |
| title | Low-overhead fault-tolerant quantum computation by gauging logical operators |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2410.02213 |