Exact entanglement renormalization for string-net models

Konig, Robert, Reichardt, Ben W. and Vidal, Guifre (2009) Exact entanglement renormalization for string-net models. Physical Review B (Condensed Matter and Materials Physics), 79 19: 195123.1-195123.6. doi:10.1103/PhysRevB.79.195123

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Author Konig, Robert
Reichardt, Ben W.
Vidal, Guifre
Title Exact entanglement renormalization for string-net models
Journal name Physical Review B (Condensed Matter and Materials Physics)   Check publisher's open access policy
ISSN 1098-0121
Publication date 2009-05-26
Sub-type Article (original research)
DOI 10.1103/PhysRevB.79.195123
Open Access Status File (Publisher version)
Volume 79
Issue 19
Start page 195123.1
End page 195123.6
Total pages 4
Editor P. D. Adams
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2010
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
020603 Quantum Information, Computation and Communication
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.
Keyword Ground states
Topological quantum computation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 195123

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
ERA 2012 Admin Only
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Citation counts: TR Web of Science Citation Count  Cited 26 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 30 times in Scopus Article | Citations
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Created: Thu, 03 Sep 2009, 08:01:27 EST by Mr Andrew Martlew on behalf of Physics