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Trapped Ion Quantum Computing Quantum Simulation

An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice

arXiv
Authors: Dong-Ling Deng, Sheng-Tao Wang, Kai Sun, Lu-Ming Duan

Year

2014

Paper ID

47929

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We propose an experimental scheme to observe non-abelian statistics with cold atoms in a two dimensional optical lattice. We show that the Majorana-Schockley modes associated with line defects obey non-abelian statistics and can be created, braided, and fused, all through adiabatic shift of the local chemical potentials. The detection of the topological qubit is transformed to local measurement of the atom number on a single lattice site. We demonstrate the robustness of the braiding operation by incorporating noise and experiential imperfections in numerical simulations, and show that the requirement fits well with the current experimental technology.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We propose an experimental scheme to observe non-abelian statistics with cold atoms in a two dimensional optical lattice.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.5653 [2] arXiv https://arxiv.org/abs/1408.5653 [3] Publisher https://arxiv.org/abs/1408.5653

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