# 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} }

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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