Research on the Freezing Phenomenon of Quantum Correlation by Machine Learning  

作　　者：Xiaoyu Li Qinsheng Zhu Yiming Huang Yong Hu Qingyu Meng Chenjing Su Qing Yang Shaoyi Wu Xusheng Liu 

机构地区：[1]School of Information and Software Engineering,University of Electronic Science and Technology of China,Chengdu,610054,China [2]School of Physics,University of Electronic Science and Technology of China,Chengdu,610054,China [3]Department of Chemistry and Biochemistry,Utah State University,Logan,Utah,84322,USA

出　　处：《Computers, Materials & Continua》2020年第12期2143-2151,共9页计算机、材料和连续体（英文）

基　　金：supported by the National Natural Science Foundation of China(61502082);National Key R&D Program of China,Grant No.(2018YFA0306703).

摘　　要：Quantum correlation shows a fascinating nature of quantum mechanics and plays an important role in some physics topics,especially in the field of quantum information.Quantum correlations of the composite system can be quantified by resorting to geometric or entropy methods,and all these quantification methods exhibit the peculiar freezing phenomenon.The challenge is to find the characteristics of the quantum states that generate the freezing phenomenon,rather than only study the conditions which generate this phenomenon under a certain quantum system.In essence,this is a classification problem.Machine learning has become an effective method for researchers to study classification and feature generation.In this work,we prove that the machine learning can solve the problem of X form quantum states,which is a problem of physical significance.Subsequently,we apply the density-based spatial clustering of applications with noise(DBSCAN)algorithm and the decision tree to divide quantum states into two different groups.Our goal is to classify the quantum correlations of quantum states into two classes:one is the quantum correlation with freezing phenomenon for both Rènyi discord(α=2)and the geometric discord(Bures distance),the other is the quantum correlation of non-freezing phenomenon.The results demonstrate that the machine learning method has reasonable performance in quantum correlation research.

关 键 词：Machine learning quantum correlation freezing phenomenon Rènyi discord geometric discord 

分 类 号：O41[理学—理论物理]