3-Fermion topological quantum computation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866916117223571456 |
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| author | Roberts, Sam Williamson, Dominic J. |
| author_facet | Roberts, Sam Williamson, Dominic J. |
| contents | We present a scheme for universal topological quantum computation based on Clifford complete braiding and fusion of symmetry defects in the 3-Fermion anyon theory, supplemented with magic state injection. We formulate a fault-tolerant measurement-based realisation of this computational scheme on the lattice using ground states of the Walker--Wang model for the 3-Fermion anyon theory with symmetry defects. The Walker--Wang measurement-based topological quantum computation paradigm that we introduce provides a general construction of computational resource states with thermally stable symmetry-protected topological order. We also demonstrate how symmetry defects of the 3-Fermion anyon theory can be realized in a 2D subsystem code due to Bombín -- making contact with an alternative implementation of the 3-Fermion defect computation scheme via code deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_04693 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | 3-Fermion topological quantum computation Roberts, Sam Williamson, Dominic J. Quantum Physics We present a scheme for universal topological quantum computation based on Clifford complete braiding and fusion of symmetry defects in the 3-Fermion anyon theory, supplemented with magic state injection. We formulate a fault-tolerant measurement-based realisation of this computational scheme on the lattice using ground states of the Walker--Wang model for the 3-Fermion anyon theory with symmetry defects. The Walker--Wang measurement-based topological quantum computation paradigm that we introduce provides a general construction of computational resource states with thermally stable symmetry-protected topological order. We also demonstrate how symmetry defects of the 3-Fermion anyon theory can be realized in a 2D subsystem code due to Bombín -- making contact with an alternative implementation of the 3-Fermion defect computation scheme via code deformations. |
| title | 3-Fermion topological quantum computation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2011.04693 |