Corpus ID: 119167639

Topological Quantum Computation with Gapped Boundaries

@article{Cong2016TopologicalQC,
  title={Topological Quantum Computation with Gapped Boundaries},
  author={Iris Cong and Meng Cheng and Zhenghan Wang},
  journal={arXiv: Quantum Physics},
  year={2016}
}
  • Iris Cong, Meng Cheng, Zhenghan Wang
  • Published 2016
  • Physics, Mathematics
  • arXiv: Quantum Physics
  • This paper studies fault-tolerant quantum computation with gapped boundaries. We first introduce gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories using their Hamiltonian realizations. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also provide a commuting Hamiltonian to realize defects between boundaries in any quantum double model. Next, we present the algebraic/categorical… CONTINUE READING

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