Fast Mixing of Quantum Spin Chains at All Temperatures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917218840739840 |
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| author | Bergamaschi, Thiago Chen, Chi-Fang |
| author_facet | Bergamaschi, Thiago Chen, Chi-Fang |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast Mixing of Quantum Spin Chains at All Temperatures Bergamaschi, Thiago Chen, Chi-Fang Quantum Physics 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]. |
| title | Fast Mixing of Quantum Spin Chains at All Temperatures |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.08533 |