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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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Anyonic braiding in optical lattices.

Chuanwei Zhang1, V W Scarola, Sumanta Tewari

  • 1Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742, USA. cwzhang@umd.edu

Proceedings of the National Academy of Sciences of the United States of America
|November 15, 2007
PubMed
Summary

Researchers propose a realistic experimental scheme using cold atoms to create and braid topological excitations. Observing their braiding statistics would confirm the existence of anyons and advance topological quantum computation.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Topological quantum states exhibit unique properties, including non-trivial braiding statistics of excitations.
  • Topological quantum computation leverages these properties for fault-tolerant quantum computing.

Purpose of the Study:

  • To propose a realistic experimental scheme for creating and braiding Abelian topological excitations.
  • To demonstrate a method for detecting the braiding statistics of these excitations.
  • To lay the groundwork for realizing topological quantum gates.

Main Methods:

  • Utilizing the Kitaev model in a tunable cold atom optical lattice system.
  • Developing protocols for the creation and braiding of topological excitations.
  • Designing detection methods for observing braiding statistics.

Main Results:

  • A concrete experimental scheme for generating and manipulating Abelian anyons in a cold atom system.
  • A method to detect the characteristic braiding statistics of anyons.
  • Adaptability of the scheme for non-Abelian topological states.

Conclusions:

  • Experimental observation of anyon braiding statistics would validate topological matter.
  • The proposed scheme offers a pathway to building topologically protected quantum gates.
  • This work advances the experimental realization of topological quantum computation.