PMID: 19113760Dec 31, 2008Paper

Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices

Physical Review Letters
M AguadoJ I Cirac

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.

References

Jul 20, 2001·Physical Review Letters·M D LukinP Zoller
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Nov 13, 2003·Physical Review Letters·René StockEric L Bolda
Dec 20, 2003·Physical Review Letters·S KuhrD Meschede
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Dec 17, 2004·Physical Review Letters·K G H VollbrechtJ I Cirac
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Citations

Mar 4, 2017·Physical Review Letters·Erez ZoharJ Ignacio Cirac
Jul 14, 2012·Reports on Progress in Physics·B Douçot, L B Ioffe
Aug 14, 2019·Reports on Progress in Physics·Tomasz Sowiński, Miguel Ángel García-March
Sep 28, 2010·Physical Review Letters·Michele Burrello, Andrea Trombettoni
Sep 26, 2012·Physical Review Letters·Jutho HaegemanNorbert Schuch
Sep 28, 2010·Physical Review Letters·Dong-Ling DengC H Oh
Aug 15, 2015·Physical Review Letters·Sebastian Greschner, Luis Santos
Apr 27, 2011·Physical Review Letters·Liang JiangJohn Preskill

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