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 lowerboundtype tools, which are in fact difficult to reveal the true minimum time, especially for manybody systems or complex dynamics. Therefore, the evaluation of this true minimum time in these scenarios is still an unsolved problem. Hereby we provide the operational definition of quantum speed limit for a general target and propose a threestep (classificationregressioncalibration) 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 timedependent Hamiltonians with timeindependent eigenstates.
 Publication:

npj Quantum Information
 Pub Date:
 2023
 DOI:
 10.1038/s41534023007688
 arXiv:
 arXiv:2301.00566
 Bibcode:
 2023npjQI...9...97Z
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 7+17 pages, 14 figures, 1 table, close to the published version