Quantum control for time-dependent noise by inverse geometric optimization  

作　　者：Xiaodong Yang Yingcheng Li Ran Liu Xinfang Nie Tao Xin Dawei Lu Jun Li 

机构地区：[1]Institute of Quantum Precision Measurement,State Key Laboratory of Radio Frequency Heterogeneous Integration,College of Physics and Optoelectronic Engineering,Shenzhen University,Shenzhen 518060,China [2]State Key Laboratory of Surface Physics,Department of Physics,Center for Field Theory and Particle Physics,and Institute for Nanoelectronic Devices and Quantum Computing,Fudan University,Shanghai 200433,China [3]Shenzhen Institute for Quantum Science and Engineering and Department of Physics,Southern University of Science and Technology,Shenzhen 518055,China [4]Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen 518055,China [5]Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area(Guangdong),Shenzhen 518045,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第9期51-57,共7页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12204230,12275117,1212200199,11975117,92065111,12075110,11905099,11875159,11905111,and U1801661);the National Key Research and Development Program of China(Grant No.2019YFA0308100);Guangdong Basic and Applied Basic Research Foundation(Grant Nos.2022B1515020074,2019A1515011383,and 2021B1515020070);Guangdong Provincial Key Laboratory(Grant No.2019B121203002);Guangdong International Collaboration Program(Grant No.2020A0505100001);Shenzhen Science and Technology Program(Grant Nos.RCYX20200714114522109,and KQTD20200820113010023);the Science,Technology and Innovation Commission of Shenzhen Municipality(Grant Nos.ZDSYS20190902092905285,KQTD20190929173815000,and JCYJ20200109140803865);the Pengcheng Scholars,Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2019ZT08C044);the Pearl River Talent Recruitment Program(Grant No.2019QN01X298)。

摘　　要：Quantum systems are exceedingly difficult to engineer because they are sensitive to various types of noises.In particular,timedependent noises are frequently encountered in experiments but how to overcome them remains a challenging problem.In this work,we propose a flexible robust control technique to resist time-dependent noises based on inverse geometric optimization working in the filter-function formalism.The basic idea is to parameterize the control filter function geometrically and minimize its overlap with the noise spectral density.This then effectively reduces the noise susceptibility of the controlled system evolution.We show that the proposed method can produce high-quality robust pulses for realizing desired quantum evolutions under realistic noise models.Also,we demonstrate this method in examples including dynamical decoupling and quantum sensing protocols to enhance their performances.

关 键 词：time-dependent noise robust control quantum gates and states dynamical decoupling quantum sensing 

分 类 号：O413[理学—理论物理]