Experimental Quantum Advantage with Quantum Coupon Collector  

作　　者：Min-Gang Zhou Xiao-Yu Cao Yu-Shuo Lu Yang Wang Yu Bao Zhao-Ying Jia Yao Fu Hua-Lei Yin Zeng-Bing Chen 

机构地区：[1]National Laboratory of Solid State Microstructures,School of Physics,Collaborative Innovation Center of Advanced Microstructures,Nanjing University,Nanjing 210093,China [2]MatricTime Digital Technology Co.Ltd.,Nanjing 211899,China

出　　处：《Research》2022年第3期309-319,共11页研究（英文）

基　　金：the National Natural Science Foundation of China(No.61801420);the Natural Science Foundation of Jiangsu Province(No.BK20211145);the Fundamental Research Funds for the Central Universities(No.020414380182);the Key Research and Development Program of Nanjing Jiangbei New Area(No.ZDYD20210101);the Key-Area Research and Development Program of Guangdong Province(No.2020B0303040001);the China Postdoctoral Science Foundation(No.2021M691536).

摘　　要：An increasing number of communication and computational schemes with quantum advantages have recently been proposed,which implies that quantum technology has fertile application prospects.However,demonstrating these schemes experimentally continues to be a central challenge because of the difficulty in preparing high-dimensional states or highly entangled states.In this study,we introduce and analyze a quantum coupon collector protocol by employing coherent states and simple linear optical elements,which was successfully demonstrated using realistic experimental equipment.We showed that our protocol can significantly reduce the number of samples needed to learn a specific set compared with the classical limit of the coupon collector problem.We also discuss the potential values and expansions of the quantum coupon collector by constructing a quantum blind box game.The information transmitted by the proposed game also broke the classical limit.These results strongly prove the advantages of quantum mechanics in machine learning and communication complexity.

关 键 词：complexity. QUANTUM implies 

分 类 号：O413[理学—理论物理]