A fault-tolerant non-Clifford gate for the surface code in two dimensions
We complete a universal set of fault-tolerant quantum logic gates for a two-dimensional surface code architecture. Fault-tolerant logic gates will consume a large proportion of the resources of a two-dimensional quantum computing architecture. Here we show how to perform a fault-tolerant non-Cliffor...
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| Veröffentlicht in: | Science advances Jg. 6; H. 21; S. eaay4929 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
American Association for the Advancement of Science
01.05.2020
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| Schlagworte: | |
| ISSN: | 2375-2548, 2375-2548 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We complete a universal set of fault-tolerant quantum logic gates for a two-dimensional surface code architecture.
Fault-tolerant logic gates will consume a large proportion of the resources of a two-dimensional quantum computing architecture. Here we show how to perform a fault-tolerant non-Clifford gate with the surface code; a quantum error-correcting code now under intensive development. This alleviates the need for distillation or higher-dimensional components to complete a universal gate set. The operation uses both local transversal gates and code deformations over a time that scales with the size of the qubit array. An important component of the gate is a just-in-time decoder. These decoding algorithms allow us to draw upon the advantages of three-dimensional models using only a two-dimensional array of live qubits. Our gate is completed using parity checks of weight no greater than four. We therefore expect it to be amenable with near-future technology. As the gate circumvents the need for magic-state distillation, it may reduce the resource overhead of surface-code quantum computation considerably. |
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| Bibliographie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ISSN: | 2375-2548 2375-2548 |
| DOI: | 10.1126/sciadv.aay4929 |