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. Recently an operational definition of quantum speed limit (OQSL) was proposed, which reveals the intrinsic minimum time for time-independent Hamiltonians. However, a general method to evaluate the OQSL for time-dependent Hamiltonians, especially when noises are involved, is still in lack. Hereby we provide the expression of OQSL for a certain type of time-dependent Hamiltonians and propose a three-step (classification-regression-calibration) methodology based on machine learning for the evaluation of OQSL in complex dynamics.Comment: 24 pages, 14 figures, 1 tabl