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Clifford group and stabilizer states from Chern-Simons theory

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arxiv 1903.06789 v1 pith:3FG55ZWO submitted 2019-03-15 hep-th quant-ph

classification hep-thquant-ph
keywords chern-simonscliffordgroupstabilizerstatestheoryalgebrasconstruction
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The construction of generators of the Clifford group and of stabilizer states from Chern-Simons theory is presented for the Kac-Moody algebras SU(2)1, U(N)N,N(K+N) with N = 2 and K = 1, and SU(N)1 extending results of Salton, et. al.

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  1. Entanglement distillation of boundary states of large N SU(N)1, Chern-Simons theory and Riemann surfaces

    hep-th 2019-08 reject novelty 3.0 of 10

    A tree tensor network for distilling SU(N)_1 Chern-Simons boundary states is proposed, but its key fusion-matrix identification is asserted without derivation.

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