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Topological Quantum Computing

Coherent transport in non-Abelian quantum graphs

arXiv
Authors: A. V. Poshakinskiy, L. E. Golub

Year

2026

Paper ID

59907

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

0

Abstract

We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the conductance, which has different periodicities in the diffusive and ballistic regimes. We classify all configurations of magnetic and spin-orbit fields where a logarithmically divergent weak-(anti)localization correction appears in the diffusive regime. The conductivity of topologically distinct configurations is the same in the diffusive regime but different in the ballistic regime. The proposed setup provides a feasible realization of quantum graphs with non-Abelian gauge fields.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.03826 [2] arXiv https://arxiv.org/abs/2605.03826 [3] Publisher https://arxiv.org/abs/2605.03826

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