Author

Kuo-Chin Chen

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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

Preprint Oct 2026

From Heat to Homology: Spectral Gap Transfer for Exact Quantum Gibbs Sampling at All Temperatures

Preparing Gibbs states through dissipative dynamics requires controlling convergence for the chosen Hamiltonian $H$ and coupling operators. However, efficient implementation requires convergence guarantees from the spectral gap of the generator of the dynamics, which remains a crucial challenge. Recent results address...

Caesnan M. G. Leditto, Kuo-Chin Chen, Min-Hsiu Hsieh · 0 citations