Exact entanglement renormalization for string-net models

Details Exact entanglement renormalization for string-net models Exact entanglement renormalization for string-net models

2008-06-27

arxiv.org/abs/0806.4583v2

Phys. Rev. B 79, 195123 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures, v2: updated to match published version

Scientific paper

10.1103/PhysRevB.79.195123

We construct an explicit renormalization group (RG) transformation for Levin and Wen's 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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