Fast Mixing of Quantum Spin Chains at All Temperatures
Abstract
It is shown that every one-dimensional Hamiltonian with short-range interactions 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].
Fields of Study & Subjects
Quantum many-body systems
Quantum and electron transport phenomena
Theoretical and Computational Physics
Publication details
- Journal / source
- Proceedings of the 58th Annual ACM Symposium on Theory of Computing
- Publisher
- ACM
- Pages
- 835–844
- Publication date
- 9 June 2026
- Language
- EN