期刊
PHYSICAL REVIEW LETTERS
卷 119, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.170504
关键词
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资金
- National Science Foundation [DMS-1411212]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1411212] Funding Source: National Science Foundation
This Letter discusses topological quantum computation with gapped boundaries of two-dimensional topological phases. Systematic methods are presented to encode quantum information topologically using gapped boundaries, and to perform topologically protected operations on this encoding. In particular, we introduce a new and general computational primitive of topological charge measurement and present a symmetry-protected implementation of this primitive. Throughout the Letter, a concrete physical example, the Z(3) toric code [D(Z(3))], is discussed. For this example, we have a qutrit encoding and an abstract universal gate set. Physically, gapped boundaries of D(Z(3)) can be realized in bilayer fractional quantum Hall 1/3 systems. If a practical implementation is found for the required topological charge measurement, these boundaries will give rise to a direct physical realization of a universal quantum computer based on a purely Abelian topological phase.
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