Quantum speed limit for complex dynamics

M Zhang, HM Yu, J Liu - npj Quantum Information, 2023 - nature.com
M Zhang, HM Yu, J Liu
npj Quantum Information, 2023nature.com
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 provide the operational definition of quantum speed limit for a …
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 provide the operational definition of quantum speed limit for a general target and 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.
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