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

作　　者：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 Jianwen Xu;Yujia Zhang;Wen Zheng;Haoyang Cai;Haoyu Zhou;Xianke Li;Xudong Liao;Yu Zhang;Shaoxiong Li;Dong Lan;Xinsheng Tan;Yang Yu(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)

机构地区：[1]National Laboratory of Solid State Microstructures,School of Physics,Nanjing University,Nanjing 210093,China [2]Shishan Laboratory,Suzhou Campus of Nanjing University,Suzhou 215163,China [3]Hefei National Laboratory,Hefei 230088,China

出　　处：《Chinese Physics Letters》2024年第4期7-12,共6页中国物理快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.U21A20436 and 12074179);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0301702);the Natural Science Foundation of Jiangsu Province(Grant Nos.BE2021015-1 and BK20232002);the Jiangsu Funding Program for Excellent Postdoctoral Talent(Grant Nos.20220ZB16 and 2023ZB562);the Natural Science Foundation of Shandong Province(Grant No.ZR2023LZH002)。

摘　　要：Adiabatic time-optimal quantum controls are extensively used in quantum technologies to break the constraints 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 navigation 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.

关 键 词：PROCESS QUANTUM ADIABATIC 

分 类 号：O413[理学—理论物理]