量子态分辨中最小错误率和最小消耗的平衡

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

田博轩 ¹侯志博 ¹项国勇 ¹李传锋 ¹郭光灿¹

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作者信息

1. 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
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摘要

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|ψ0>和|ψ1>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.

Abstract

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|ψ0>and|ψ1>through multiple measurements.In this study,we introduce a novel state discrimination model that reveals the in-tricate 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 simultan-eously minimizing these metrics through local measurements with one-way communication.Our findings present a com-pelling 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 ac-curacy of quantum state discrimination.

关键词

量子测量/量子控制/量子态分辨

Key words

quantum measurement/quantum control/quantum state discrimination

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基金项目

Fundamental Research Funds for the Central Universities(WK2470000035)

USTC Research Funds of the Double First-Class Initiative(YD2030002007)

USTC Research Funds of the Double First-Class Initiative(YD2030002011)

National Natural science Foundation of China(62222512)

National Natural science Foundation of China(12104439)

National Natural science Foundation of China(12134014)

National Natural science Foundation of China(11974335)

Anhui Provincial Natural Science Foundation(2208085J03)

出版年

2024

中国科学技术大学学报

中国科学技术大学

中国科学技术大学学报

CSTPCDCSCD北大核心

影响因子：0.421

ISSN：0253-2778

参考文献量22

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