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We study the realization of anyon-permuting symmetries of topological phases on the lattice using tensor networks.
X.-G. Wen, Topological orders in rigid states, International Journal of Modern Physics B 04
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A. Coste, T. Gannon, and P. Ruelle, Finite group modular data, Nuclear Physics B 581
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H. J. Briegel and R. Raussendorf, Persistent Entanglement in Arrays of Interacting Particles, Physical Review Letters 86
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E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, Journal of Mathematical Physics 43
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R. Raussendorf, D. Browne, and H. Briegel, The one-way quantum computer–a non-network model of quantum computation, Journal of Modern Optics 49
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V. Ostrik, Module categories over the Drinfeld double of a finite group, International Mathematics Research Notices 2003
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A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
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M. B. Hastings and X.-G. Wen, Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, Physical Review B 72
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A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321
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P. Etingof, D. Nikshych, and V. Ostrik, Fusion categories and homotopy theory, Quantum Topology 1
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