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A scheme for demonstration of fractional statistics of anyons in an exactly solvable model

Y. -J. Han·R. Raussendorf·L. -M. Duan
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Abstract

We propose a scheme to demonstrate fractional statistics of anyons in an exactly solvable lattice model proposed by Kitaev that involves four-body interactions. The required many-body ground state, as well as the anyon excitations and their braiding operations, can be conveniently realized through \textit{dynamic}laser manipulation of cold atoms in an optical lattice. Due to the perfect localization of anyons in this model, we show that a quantum circuit with only six qubits is enough for demonstration of the basic braiding statistics of anyons. This opens up the immediate possibility of proof-of-principle experiments with trapped ions, photons, or nuclear magnetic resonance systems.

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Y. -J. Han, R. Raussendorf, L. -M. Duan. 2007-02-05. A scheme for demonstration of fractional statistics of anyons in an exactly solvable model. https://doi.org/10.1103/physrevlett.98.150404

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