期刊
PHYSICAL REVIEW B
卷 93, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.93.155131
关键词
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资金
- Institute for Quantum Information and Matter
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation [PHY-0803371, PHY-1125565]
- David and Ellen Lee Postdoctoral Fellowship
- National Science Foundation [NSF PHY11-25915]
We present simple lattice realizations of symmetry-protected topological phases with q-form global symmetries where charged excitations have q spatial dimensions. Specifically, we construct d space-dimensional models supported on a (d + 1)-colorable graph by using a family of unitary phase gates, known as multiqubit control-Z gates in quantum information community. In our construction, charged excitations of different dimensionality may coexist and form a short-range entangled state which is protected by symmetry operators of different dimensionality. Nontriviality of proposed models, in a sense of quantum circuit complexity, is confirmed by studying protected boundary modes, gauged models, and corresponding gapped domain walls. We also comment on applications of our construction to quantum error-correcting codes, and discuss corresponding fault-tolerant logical gates.
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