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A. Southwell

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Preprint Sep 2026

Double Localization for Quantum Gibbs Sampler Gaps: From an Abstract Framework to Finite-Group Models

We introduce double localization, a framework for proving spectral gaps of quantum Gibbs samplers through two complementary operations: geometric localization, which selects updates supported in small spatial regions, and interface localization, which focuses on a model-defined subspace of observables while remaining g...

Ryu Hayakawa, A. Southwell, Caesnan M. G. Leditto et al. · 0 citations

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