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Exact entanglement renormalization for string-net models

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 نشر من قبل Robert Koenig
 تاريخ النشر 2009
  مجال البحث فيزياء
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We construct an explicit renormalization group (RG) transformation for Levin and Wens string-net models on a hexagonal lattice. The transformation leaves invariant the ground-state fixed-point wave function of the string-net condensed phase. Our construction also produces an exact representation of the wave function in terms of the multi-scale entanglement renormalization ansatz (MERA). This sets the stage for efficient numerical simulations of string-net models using MERA algorithms. It also provides an explicit quantum circuit to prepare the string-net ground-state wave function using a quantum computer.



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