Experimental investigation of measurement incompatibility of mutually unbiased bases  

作　　者：Yu Guo Shuming Cheng Xiao-Min Hu Bi-Heng Liu Yun-Feng Huang Chuan-Feng Li Guang-Can Guo 

机构地区：[1]CAS Key Laboratory of Quantum Information,University of Science and Tech-nology of China,Hefei 230026,China [2]CAS Center For Excellence in Quan-tum Information and Quantum Physics,University of Science and Technology of China,Hefei 230026,China [3]The Department of Control Science and Engineer-ing,Tongji University,Shanghai 201804,China [4]Shanghai Institute of Intelligent Science and Technology,Tongji University,Shanghai 201804,China [5]Institute for Advanced Study,Tongji University,Shanghai 200092,China

出　　处：《Chip》2023年第1期51-57,共7页芯片（英文）

基　　金：This work was supported by the National Key Re-search and Development Program of China(No.2021YFE0113100),NSFC(No.11734015,No.11874345,No.11821404,No.11904357,No.12174367,No.12204458,No.12205219,and No.17326616);the Shanghai Municipal Science and Technology Fundamental Project(No.21JC1405400);the Fun-damental Research Funds for the Central Universities,USTC Tang Schol-arship,Science and Technological Fund of Anhui Province for Outstand-ing Youth(2008085J02);Science and Technological Fund of Anhui Province(2208085QA12);China Postdoctoral Science Foundation(2021M700138,BX2021289).

摘　　要：Incompatible measurements are of fundamental importance to re-vealing the peculiar features of quantum theory,and are also use-ful resources in various quantum information tasks.In this work,we investigate the quantum incompatibility of mutually unbiased bases(MUBs)within the operational framework of quantum resource the-ory,and report an experimental validation via the task of state dis-crimination.In particular,we construct an experimentally friendly witness to detect incompatible MUBs,based on the probability of cor-rectly discriminating quantum states.Furthermore,we prove that the noise robustness of MUBs can be retrieved from violating the above witness.Finally,we experimentally test the incompatibility of MUBs of dimensionality ranging from 2 to 4,and demonstrate that it is more robust to noise,as either the dimensionality of measurements or the number of MUBs increases.Our results may aid the exploration of the essential roles of incompatible measurements in both theoretical and practical applications in quantum information.

关 键 词：Quantum incompatibility Mutually unbiased bases Robust-ness of incompatibility 

分 类 号：O41[理学—理论物理]