Quantum speed limit for complex dynamics

• URL: http://arxiv.org/abs/2301.00566v3
• Date: Mon, 18 Sep 2023 12:54:55 GMT
• Title: Quantum speed limit for complex dynamics
• Abstract summary: Most existing tools for the depiction of quantum speed limit are the lower-bound-type tools. We propose a three-step (classification-regression-calibration) methodology based on machine learning to evaluate the true minimum time in complex dynamics.
• Score: 4.491423699780532
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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.

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