Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac
Phys. Rev. Lett. 101, 260501 – Published 22 December 2008

Abstract

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. We show how to simulate the creation and manipulation of Abelian and non-Abelian anyons in topological lattice models using trapped atoms in optical lattices. Our proposal, feasible with present technology, requires an ancilla particle which can undergo single-particle gates, be moved close to each constituent of the lattice and undergo a simple quantum gate, and be detected.

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  • Received 3 April 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.260501

©2008 American Physical Society

Authors & Affiliations

M. Aguado1, G. K. Brennen2, F. Verstraete3, and J. I. Cirac1

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, Garching, D-85748, Germany
  • 2Centre for Quantum Information Science and Security, Macquarie University, 2109, NSW Australia
  • 3Fakultät für Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

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Vol. 101, Iss. 26 — 31 December 2008

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