Energy shortcut of quantum protocols by optimal control

• URL: http://arxiv.org/abs/2503.20130v2
• Date: Tue, 21 Oct 2025 14:34:36 GMT
• Title: Energy shortcut of quantum protocols by optimal control
• Authors: C. L. Latune, M. B. Puthuveedu Shebeek, D. Sugny, S. Guérin,
• Abstract summary: We introduce an energetically-optimal method inspired by Shortcut-To-Adiabaticity processes.<n>QOSTE produces the same transformation as STA for a given protocol but at the lowest possible energy cost.<n>We show that the minimal energy cost is determined by the length of the geodesic in the rotating frame given by the original protocol.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce an energetically-optimal method inspired from Shortcut-To-Adiabaticity (STA) processes, named Quantum-Optimal-Shortcut-To-Energetics (QOSTE). QOSTE produces the same transformation as STA for a given protocol used in quantum technologies or thermodynamics, but at the lowest possible energy cost. We apply optimal control theory to analytically design the QOSTE controls for a qubit and show that the minimal energy cost is determined by the length of the geodesic in the rotating frame given by the original protocol. A numerical example in the case of a two-level quantum system under the Landau-Zener protocol illustrates the method. We observe a dramatic reduction in energy with respect to standard STA methods. Finally, using gradient-based optimization algorithms and highlighting the emerging trade-off between robustness and energy cost, we design robust QOSTE outperforming STA both in robustness and energy efficiency.

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