保存先:
| 主要な著者: | , |
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| フォーマット: | Preprint |
| 出版事項: |
2020
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| 主題: | |
| オンライン･アクセス: | https://arxiv.org/abs/2011.04693 |
| タグ: |
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目次:
- 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.