Quantum speed limit for complex dynamics
Abstract
Quantum speed limit focuses on the minimum time scale for a fixed mission and hence is important in quantum information where fast dynamics is usually beneficial. Most existing tools for the depiction of quantum speed limit are the lower-bound-type tools, which are in fact difficult to reveal the true minimum time, especially for many-body systems or complex dynamics. Therefore, the evaluation of this true minimum time in these scenarios is still an unsolved problem. Hereby we propose a three-step (classification-regression-calibration) methodology based on machine learning to evaluate the true minimum time in complex dynamics. Moreover, the analytical expression of the true minimum time is also provided for the time-dependent Hamiltonians with time-independent eigenstates.
Keywords
Cite
@article{arxiv.2301.00566,
title = {Quantum speed limit for complex dynamics},
author = {Mao Zhang and Huai-Ming Yu and Jing Liu},
journal= {arXiv preprint arXiv:2301.00566},
year = {2023}
}
Comments
7+17 pages, 14 figures, 1 table, close to the published version