PreprintCC BY 4.0arXiv
Fast mixing of all-to-all quantum systems at high temperatures
Abstract
It is shown that arbitrary quantum k-local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at sufficiently high temperatures. As a consequence, such systems admit fully-polynomial time quantum approximation algorithms for partition functions and global expectation values.
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BibTeX
@misc{bergamaschi2026fast,
title = {{Fast mixing of all-to-all quantum systems at high temperatures}},
author = {Thiago Bergamaschi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.26090},
eprint = {2606.26090},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26090},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Fast mixing of all-to-all quantum systems at high temperatures
AU - Thiago Bergamaschi
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2606.26090
UR - https://arxiv.org/abs/2606.26090
AB - It is shown that arbitrary quantum k-local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at sufficiently high temperatures. As a consequence, such systems admit fully-polynomial time quantum approximation algorithms for partition functions and global expectation values.
ER -