首页|Balancing the Quantum Speed Limit and Instantaneous Energy Cost in Adiabatic Quantum Evolution

Balancing the Quantum Speed Limit and Instantaneous Energy Cost in Adiabatic Quantum Evolution

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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.

徐建文、张宇佳、郑文、蔡浩阳、周浩宇、李先科、廖绪东、张钰、李邵雄、兰栋、谭新生、于扬

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National Laboratory of Solid State Microstructures,School of Physics,Nanjing University,Nanjing 210093,China

Shishan Laboratory,Suzhou Campus of Nanjing University,Suzhou 215163,China

Hefei National Laboratory,Hefei 230088,China

国家自然科学基金国家自然科学基金Innovation Program for Quantum Science and Technology江苏省自然科学基金江苏省自然科学基金Jiangsu Funding Program for Excellent Postdoctoral TalentJiangsu Funding Program for Excellent Postdoctoral Talent山东省自然科学基金

U21A20436120741792021ZD0301702BE2021015-1BK2023200220220ZB162023ZB562ZR2023LZH002

2024

10.1088/0256-307X/41/4/040202

中国物理快报(英文版)
中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI
影响因子：0.515
ISSN：0256-307X
年,卷(期)：2024.41(4)
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