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In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay.
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Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons
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Universal quantum computation with ideal Clifford gates and noisy ancillas
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Editors’ introduction: the third life of quantum logic: quantum logic inspired by quantum computing
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Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
Y.-Z. Huang · 2005
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The N N -eigenvalue problem and two applications
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String-net condensation: A physical mechanism for topological phases
M. A. Levin and X.-G. Wen · 2005
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Detecting non-abelian statistics in the ν = 5 / 2 \nu=5/2 fractional quantum Hall state
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Low-dimensional representations of the three component loop braid group
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Mapping class group representations from Drinfeld doubles of finite groups
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Majorana zero modes and topological quantum computation
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Complexity classes as mathematical axioms II
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C. Delaney, E. C. Rowell, and Z. Wang · 2016
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Finiteness for mapping class group representations from twisted Dijkgraaf-Witten theory
P. Gustafson · 2016
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An invitation to the mathematics of topological quantum computation
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Zoo of quantum-topological phases of matter
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