基于相干性度量的量子最优凸近似检验标准  

Quantum Optimal Convex Approximation Test Standard Based on Conherence Measure

作　　者：张立强 史凯 杨国晖[1] ZHANG Liqiang;SHI Kai;YANG Guohui(College of Physics and Information Engineering,Shanxi Normal University,Taiyuan 030031,Shanxi,China)

机构地区：[1]山西师范大学物理与信息工程学院,山西太原030031

出　　处：《山西师范大学学报（自然科学版）》2024年第3期46-52,共7页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12205176),山西省基础研究计划(自由探索类)青年科学研究项目(202203021222225).

摘　　要：量子态的最优凸近似在量子信息和量子技术领域有着广阔的研究前景,主要是通过采用合适的态距离度量方法,通过一系列给定量子态的概率凸混合,寻找与目标量子态最不可区分的量子态.常用的距离度量方法有迹距离、l_(1)范数和保真度等等.在这里,我们基于相干性度量提出了一种检验量子最优凸近似的实际应用效果的最优标准,并对迹距离、l_(1)范数和保真度在计算泡利距离的最优近似问题时的效果进行了比较,我们发现基于保真度距离度量的最优凸近似相干性效果是最好的.此外,我们将给定量子态的范围推广到任意量子态,并求解了最优凸近似达到最大相干性时的解析表达,研究了其相对应的物理机制.The optimal convex approximation of quantum states has a broad prospect in the field of quantum information and quantum technology,mainly by using suitable state distance measurement method,and by proba-bility convex mixing of a series of given quantum states,search for the most indistinguishable quantum state from the target quantum state.The common methods of distance measurement are trace distance,l_(1)-norm,fidelity and so on.Here,we propose an optimal criterion based on coherence measure to test the practical application of quantum optimal convex approximation,by comparing the effects of trace distance,l_(1)-norm,and fidelity in cal-culating the optimal approximation problem of Pauli distance,we find that the optimal convex approximation co-herence based on fidelity distance measure is the best.In addition,we generalize the range of a given quantum state to any quantum state,solve the analytical expression when the optimal convex approximation reaches the maximum coherence,and study its corresponding physical mechanism.

关 键 词：相干性度量 迹距离 l_(1)范数 保真度 

分 类 号：O43[机械工程—光学工程]