Exact entanglement renormalization for string-net models
arXiv:0806.4583 · doi:10.1103/PhysRevB.79.195123
Abstract
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.
7 pages, 3 figures, v2: updated to match published version
References in corpus (8)
- Non-Abelian Anyons and Topological Quantum Computation
- A class of quantum many-body states that can be efficiently simulated
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Tensor renormalization group approach to 2D classical lattice models
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Entanglement renormalization and topological order
- Topological order from quantum loops and nets
- Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer