PreprintCC BY 4.0arXiv
Accurate and bounded approximation of quantum correlation functions
Abstract
The exact classical simulation of non-integrable quantum systems rapidly becomes intractable beyond small system sizes, yet its role is central to predicting many-body dynamics. Approximate methods alleviate this cost but typically lack rigorous guarantees on their deviation from the exact result. For the infinite-temperature correlation function, we derive a rigorous error bound for approximating the full dynamics within a computable finite-sized region. Applied to autocorrelations, this finite-region approach is especially accurate across one-dimensional systems and beyond, and can further provide rigorous error bounds for other approximate methods, demonstrated here for matrix-product-operator simulations.
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BibTeX
@misc{lomwel2026accurate,
title = {{Accurate and bounded approximation of quantum correlation functions}},
author = {Alexander van Lomwel and Florian Mintert},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35114},
eprint = {2609.35114},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35114},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Accurate and bounded approximation of quantum correlation functions
AU - Alexander van Lomwel
AU - Florian Mintert
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35114
UR - https://arxiv.org/abs/2609.35114
AB - The exact classical simulation of non-integrable quantum systems rapidly becomes intractable beyond small system sizes, yet its role is central to predicting many-body dynamics. Approximate methods alleviate this cost but typically lack rigorous guarantees on their deviation from the exact result. For the infinite-temperature correlation function, we derive a rigorous error bound for approximating the full dynamics within a computable finite-sized region. Applied to autocorrelations, this finite-region approach is especially accurate across one-dimensional systems and beyond, and can further provide rigorous error bounds for other approximate methods, demonstrated here for matrix-product-operator simulations.
ER -