Published May 15, 2009
| public
Journal Article
Exact entanglement renormalization for string-net models
- Creators
- König, Robert
- Reichardt, Ben W.
- Vidal, Guifré
Abstract
We construct an explicit renormalization-group 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 multiscale 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.
Additional Information
©2009 The American Physical Society. Received 30 March 2009; published 26 May 2009. We thank Miguel Aguado, Lukasz Fidkowski, Alexei Kitaev, Greg Kuperberg, and John Preskill for helpful conversations. R.K. and B.R. acknowledge support from NSF under Grants No. CCF-0524828, No. PHY-0456720, and No. PHY-0803371 and ARO under Grant No. W911NF-05-1-0294. G.V. acknowledges support from Australian Research Council under Grants No. FF0668731 and No. DP0878830. # 03.67.Lx Quantum computation architectures and implementations # 03.65.Vf Phases: geometric; dynamic or topological (quantum theory) # 05.10.Cc Renormalization group methods (statistical physics/nonlinear dynamics) # 05.30.Pr Fractional statistics systems (anyons, etc.)Additional details
- Eprint ID
- 15365
- DOI
- 10.1103/PhysRevB.79.195123
- Resolver ID
- CaltechAUTHORS:20090827-140920044
- CCF-0524828
- NSF
- PHY-0456720
- NSF
- PHY-0803371
- NSF
- W911NF-05-1-0294
- Army Research Office
- FF0668731
- Australian Research Council
- DP0878830
- Australian Research Council
- Created
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2009-09-11Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field