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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

The mathbb{Z}₂ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit

arXiv

Authors: Wei Wang, Barbara Capogrosso-Sansone

Year

2016

Paper ID

41572

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We present a generic framework for the emergence of the mathbb{Z}₂ toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entanglement of the model which possesses "restricted patterns" of the long-range entanglement realized in corresponding string-net models with the same topological order.

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We present a generic framework for the emergence of the mathbbZ2 toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.08514 [2] arXiv https://arxiv.org/abs/1612.08514 [3] Publisher https://arxiv.org/abs/1612.08514

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