基于坐标系旋转实现对实数态克隆的优化  

Optimizing real state cloning based on rotation of coordinate system

作　　者：朱孟正 赵春然[2] 公丕锋[1,2] 叶柳 ZHU Mengzheng;ZHAO Chunran;GONG Pifeng;YE Liu(Information College,Huaibei Normal University,Huaibei 235000,China;School of Physics and Electronic Information,Huaibei Normal University,Huaibei 235000,China;School of Physics and Material Science,Anhui University,Hefei 230039,China)

机构地区：[1]淮北师范大学信息学院,安徽淮北235000 [2]淮北师范大学物理与电子信息学院,安徽淮北235000 [3]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《量子电子学报》2020年第3期337-341,共5页Chinese Journal of Quantum Electronics

基　　金：安徽省自然科学基金(1808085MA08);安徽省高等学校自然科学研究项目(KJ2018A0672,KJ2018A0679)。

摘　　要：实数态克隆是量子克隆的一个重要组成部分。但要想直接根据保真度优化操作的方法来获得优化的非对称实数态克隆变换关系式,数学运算上非常繁琐,且得到的结果也不简洁明了。因此通过引入坐标系旋转变换的方法,原坐标系中的实数态克隆在新坐标系中就变成了相位协变克隆。基于表象变换理论,对照优化的非对称相位协变克隆,可实现非对称实数态克隆在原坐标系中的优化,即得到了优化的非对称实数态克隆变换的一组系数。采用此方法优化非对称实数态克隆,处理运算的思路清晰,优化结果对称、工整、简洁,并可明确地得到优化的非对称实数态克隆各不同系数之间满足的特定关系。Real state cloning is an important part of quantum cloning.However,for obtaining the optimal asymmetric real state cloning by using the method of optimizing the fidelity directly,the mathematical operation process is very cumbersome,and the results are not so simple and clear.For this reason,the method of coordinate system rotation transformation is introduced.Based on rotation transformation of the coordinate system,a real state cloning in the original coordinate system will become a well-known phase-covariant cloning in the new coordinate system.According to representation transformation,the optimization of asymmetric real state cloning can be realized easily in the original coordinate system by comparison with optimized asymmetric phase covariant cloning,that is,a set of coefficients for the optimized asymmetric real state clone transformation can be obtained.It is shown that using the method to optimize asymmetric real state cloning,the idea of processing operation is clear,and the optimization result is symmetrical,neat,and concise.In addition,the specific relationships between different coefficients of the optimized asymmetric real state clone can be obtained explicitly.

关 键 词：量子信息 量子克隆 表象变换 实数态克隆 相位协变克隆 

分 类 号：O431.2[机械工程—光学工程]