Thiago Bergamaschi, Chi-Fang Chen (Oct 10 2025).

Abstract: It is shown that every one-dimensional Hamiltonian with short-range interaction admits a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap at all finite temperatures. Consequently, their Gibbs states can be prepared in polylogarithmic depth, and satisfy exponential clustering of correlations, generalizing [Ara69].

Arxiv: https://arxiv.org/abs/2510.08533