Extracting more information and saving quantum resources are two main aims for quantum measurements.However,the optimization of strategies for these two objectives varies when discriminating between quantum states |ψ...Extracting more information and saving quantum resources are two main aims for quantum measurements.However,the optimization of strategies for these two objectives varies when discriminating between quantum states |ψ_(0)> and |ψ_(1)> through multiple measurements.In this study,we introduce a novel state discrimination model that reveals the intricate relationship between the average error rate and average copy consumption.By integrating these two crucial metrics and minimizing their weighted sum for any given weight value,our research underscores the infeasibility of simultaneously minimizing these metrics through local measurements with one-way communication.Our findings present a compelling trade-off curve,highlighting the advantages of achieving a balance between error rate and copy consumption in quantum discrimination tasks,offering valuable insights into the optimization of quantum resources while ensuring the accuracy of quantum state discrimination.展开更多
基金supported by the National Natural Science Foundation of China(11821404,11804330)the Key Research Program of Frontier Sciences,CAS(QYZDY-SSW-SLH003)+3 种基金the Science Foundation of the CAS(ZDRW-XH2019-1)the Fundamental Research Funds for the Central Universities(WK2470000026,WK2470000027,WK2470000028,WK2470000038)the Anhui Initiative in Quantum Information Technologies(AHY020100)the National Program for Support of Topnotch Young Professionals(BB2470000005).
基金supported by the Fundamental Research Funds for the Central Universities(WK2470000035)USTC Research Funds of the Double First-Class Initiative(YD2030002007,YD2030002011)+1 种基金the National Natural Science Foundation of China(62222512,12104439,12134014,and 11974335)the Anhui Provincial Natural Science Foundation(2208085J03).
文摘Extracting more information and saving quantum resources are two main aims for quantum measurements.However,the optimization of strategies for these two objectives varies when discriminating between quantum states |ψ_(0)> and |ψ_(1)> through multiple measurements.In this study,we introduce a novel state discrimination model that reveals the intricate relationship between the average error rate and average copy consumption.By integrating these two crucial metrics and minimizing their weighted sum for any given weight value,our research underscores the infeasibility of simultaneously minimizing these metrics through local measurements with one-way communication.Our findings present a compelling trade-off curve,highlighting the advantages of achieving a balance between error rate and copy consumption in quantum discrimination tasks,offering valuable insights into the optimization of quantum resources while ensuring the accuracy of quantum state discrimination.
基金Supported by National Natural Foundation of Science(10674126,10874171)National Fundamental Research Program(2006CB921900)+1 种基金the Innovation Fund from CASProgram for NCET
