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Topological Quantum Computing

Localization Landscape in Non-Hermitian and Floquet quantum systems

arXiv
Authors: David Guéry-Odelin, François Impens

Year

2026

Paper ID

3756

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We propose a generalization of the Filoche--Mayboroda localization landscape that extends the theory well beyond the static, elliptic and Hermitian settings while preserving its geometric interpretability. Using the positive operator Hdagger H, we obtain a landscape that predicts localization across non-Hermitian, Floquet, and topological systems without computing eigenstates. Singular-value collapse reveals spectral instabilities and skin effects, the Sambe formulation captures coherent destruction of tunneling, and topological zero modes emerge directly from the landscape. Applications to Hatano--Nelson chains, driven two-level systems, and driven Aubry--André--Harper models confirm quantitative accuracy, establishing a unified predictor for localization in equilibrium and driven quantum matter.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We propose a generalization of the Filoche--Mayboroda localization landscape that extends the theory well beyond the static, elliptic and Hermitian settings while preserving...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.10451 [2] arXiv https://arxiv.org/abs/2601.10451 [3] Publisher https://arxiv.org/abs/2601.10451

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