Entanglement renormalization and topological order.
The multiscale entanglement renormalization ansatz (MERA) is argued to provide a natural description for topological states of matter. The case of Kitaev's toric code is analyzed in detail and shown to possess a remarkably simple MERA description leading to distillation of the topological degrees of freedom at the top of the tensor network. Kitaev states on an infinite lattice are also shown to be a fixed point of the renormalization group flow associated with entanglement renormalization. All of these results generalize to arbitrary quantum double models.
Aguado
Miguel
M
Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1. D-85748 Garching, Germany.
Vidal
Guifré
G