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Fast Mixing of Quantum Spin Chains at All Temperatures
Thiago Bergamaschi, Chi-Fang Chen·October 9, 2025
Quantum Physics
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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].