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We prove that Kitaev's lattice model for a finite-dimensional semisimple Hopf algebra H is equivalent to the combinatorial quantisation of Chern-Simons theory for the Drinfeld double D(H).
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O. Buerschaper, J. M. Mombelli, M. Christandl, M. Aguado, A hierarchy of topological tensor network states, J. Math. Phys. 54.1 (2013) 012201
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J. Ellis-Monaghan, I. Moffat, Graphs on surfaces: dualities, polynomials, and knots, Vol. 84 (2013) Springer, Berlin
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M. Beverland, O. Buerschaper, R. Koenig, F. Pastawski, J. Preskill, S. Sijher, Protected gates for topological quantum field theories, J. Math. Phys., 57(2) (2016) 022201
2016
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