61 citations · 176 across the 5 of their papers we have counts for
5 papers
Topological Quantum Computation with Gapped Boundaries and Boundary Defects
Iris Cong, Zhenghan Wang
We survey some recent work on topological quantum computation with gapped boundaries and boundary defects and list some open problems.
Universal Quantum Computation with Gapped Boundaries
Iris Cong, Meng Cheng, Zhenghan Wang
This Letter discusses topological quantum computation with gapped boundaries of two-dimensional topological phases. Systematic methods are presented to encode quantum information t…
Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
Iris Cong, Meng Cheng, Zhenghan Wang
We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitati…
On Defects Between Gapped Boundaries in Two-Dimensional Topological Phases of Matter
Iris Cong, Meng Cheng, Zhenghan Wang
Defects between gapped boundaries provide a possible physical realization of projective non-abelian braid statistics. A notable example is the projective Majorana/parafermion braid…
Topological Quantum Computation with Gapped Boundaries
Iris Cong, Meng Cheng, Zhenghan Wang
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 u…