Balancing the minimum error rate and minimum copy consumption in quantum state discrimination  

量子态分辨中最小错误率和最小消耗的平衡

作　　者：Boxuan Tian Zhibo Hou Guo-Yong Xiang Chuan-Feng Li Guang-Can Guo 田博轩;侯志博;项国勇;李传锋;郭光灿(中国科学技术大学中国科学院量子信息重点实验室,安徽合肥230026;中国科学技术大学中国科学院量子信息量子物理协同创新中心,安徽合肥230026)

机构地区：[1]CAS Key Laboratory of Quantum Information,University of Science and Technology of China,Hefei 230026,China [2]CAS Center For Excellence in Quantum Information and Quantum Physics,University of Science and Technology of China,Hefei 230026,China

出　　处：《中国科学技术大学学报》2024年第7期40-42,39,I0002,I0003,共6页JUSTC

基　　金：supported by the Fundamental Research Funds for the Central Universities(WK2470000035);USTC Research Funds of the Double First-Class Initiative(YD2030002007,YD2030002011);the National Natural Science Foundation of China(62222512,12104439,12134014,and 11974335);the Anhui Provincial Natural Science Foundation(2208085J03).

摘　　要：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.提取更多信息和节省量子资源是量子测量的两个主要目标。然而,当通过多次测量区分两个量子态|ψ_(0)>和|ψ_(1)>时,这两个目标的策略优化会有所不同。在这项研究中,我们引入了一个新的量子态分辨模型,该模型揭示了平均错误率和平均拷贝消耗之间的复杂关系。通过对这两个关键指标赋予权重值,并对任何给定的权重值最小化它们的加权和,我们的研究强调了通过单向通信的局部测量同时最小化这些指标的不可行性。我们呈现了一条充分的平衡曲线,突出了在量子分辨任务中实现错误率和拷贝消耗之间平衡的优势,为量子资源的优化提供了可靠策略,同时确保了量子态分辨的准确性。

关 键 词：quantum measurement quantum control quantum state discrimination 

分 类 号：O431.2[机械工程—光学工程]