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

M. Aguado; G. K. Brennen; F. Verstraete; J. I. Cirac

doi:10.1103/PhysRevLett.101.260501

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

M. Aguado^*, G. K. Brennen, F. Verstraete, J. I. Cirac

^*Corresponding author for this work

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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. 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.

Original language	English
Article number	260501
Pages (from-to)	1-4
Number of pages	4
Journal	Physical Review Letters
Volume	101
Issue number	26
DOIs	https://doi.org/10.1103/PhysRevLett.101.260501
Publication status	Published - 22 Dec 2008

Bibliographical note

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, Physical review letters, 101, 260501, 2008. Copyright 2008 by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevLett.101.260501

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

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