Geometric discord of tripartite quantum systems  

作　　者：熊春河 齐文韬 缪茂可 吴明晖 Chunhe Xiong;Wentao Qi;Maoke Miao;Minghui Wu(Interdisciplinary Center for Quantum Information,School of Physics,Zhejiang University,Hangzhou 310027,China;School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China;School of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China;School of information and electrical engineering,Hangzhou City University,Hangzhou 310015,China)

机构地区：[1]Interdisciplinary Center for Quantum Information,School of Physics,Zhejiang University,Hangzhou 310027,China [2]School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China [3]School of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China [4]School of information and electrical engineering,Hangzhou City University,Hangzhou 310015,China

出　　处：《Chinese Physics B》2023年第10期184-190,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.12201555);China Postdoctoral Science Foundation(Grant No.2021M702864)。

摘　　要：We study the quantification of geometric discord for tripartite quantum systems.Firstly,we obtain the analytic formula of geometric discord for tripartite pure states.It is already known that the geometric discord of pure states reduces to the geometric entanglement in bipartite systems,the results presented here show that this property is no longer true in tripartite systems.Furthermore,we provide an operational meaning for tripartite geometric discord by linking it to quantum state discrimination,that is,we prove that the geometric discord of tripartite states is equal to the minimum error probability to discriminate a set of quantum states with von Neumann measurement.Lastly,we calculate the geometric discord of three-qubit Bell diagonal states and then investigate the dynamic behavior of tripartite geometric discord under local decoherence.It is interesting that the frozen phenomenon exists for geometric discord in this scenario.

关 键 词：geometric discord tripartite quantum systems quantum state discriminations frozen discord 

分 类 号：O413[理学—理论物理]