Abstract
Adiabatic time-optimal quantum controls are extensively used in quantum technologies to break the con-straints imposed by short coherence times.However,practically it is crucial to consider the trade-off between the quantum evolution speed and instantaneous energy cost of process because of the constraints in the available control Hamiltonian.Here,we experimentally show that using a transmon qubit that,even in the presence of vanishing energy gaps,it is possible to reach a highly time-optimal adiabatic quantum driving at low energy cost in the whole evolution process.This validates the recently derived general solution of the quantum Zermelo nav-igation problem,paving the way for energy-efficient quantum control which is usually overlooked in conventional speed-up schemes,including the well-known counter-diabatic driving.By designing the control Hamiltonian based on the quantum speed limit bound quantified by the changing rate of phase in the interaction picture,we reveal the relationship between the quantum speed limit and instantaneous energy cost.Consequently,we demonstrate fast and high-fidelity quantum adiabatic processes by employing energy-efficient driving strengths,indicating a promising strategy for expanding the applications of time-optimal quantum controls in superconducting quantum circuits.
基金项目
国家自然科学基金(U21A20436)
国家自然科学基金(12074179)
Innovation Program for Quantum Science and Technology(2021ZD0301702)
江苏省自然科学基金(BE2021015-1)
江苏省自然科学基金(BK20232002)
Jiangsu Funding Program for Excellent Postdoctoral Talent(20220ZB16)
Jiangsu Funding Program for Excellent Postdoctoral Talent(2023ZB562)
山东省自然科学基金(ZR2023LZH002)
维普
万方数据