Bell态的局域复制  

Local Cloning of Bell States

作　　者：黄晓君 李艳娜 HUANG Xiaojun;LI Yanna(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006

出　　处：《山西大学学报（自然科学版）》2024年第4期804-808,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11904216)。

摘　　要：Bell态是量子信息的关键要素,其量子复制与许多重要的信息处理任务密切相关。本文提出一种简单的利用局域操作、经典通讯并引入辅助纠缠实现Bell态复制的方案,我们仅使用了受控非门(CONT)、分束器(BS)、偏振分束器(PBS)和粒子探测器。首先对未知Bell态和辅助Bell态同时进行CONT操作,接着对CONT门某一输出端口粒子进行PBS操作并用粒子探测器测量PBS一输出端口粒子的数目,同时对CONT门另一输出端口进行第二次CONT门操作,如果探测器测量结果为偶数,未知Bell态直接实现了局域复制;若探测器结果为奇数,需要进行第三次CONT门操作来完成态的局域复制。整个方案最多经过三次CONT门操作,就可以完成任意Bell态的复制。本文的方案对Bell态的测量和分析有一定的帮助。The Bell state is the key element of quantum information,and its quantum cloning is very closely connected with many important information processing tasks.In this paper,we present a simple scheme for Bell state cloning by using local operation,classical communication and assisted entanglement,by which we only use Controlled-NOT gate(CONT),beam splitters(BS),polarized beam splitters(PBS) and particle detectors.Firstly,we perform a CONT operation on both the unknown Bell state and the auxiliary Bell state simultaneously,then perform a PBS operation on the particles at one output port of the CONT gate and use a particle detector to measure the number of particles at one output port of the PBS.At the same time,we also perform a second CONT gate operation on the another output port of the CONT gate.If the detector measurement result is even,the unknown Bell state realizes local cloning directly;If the detector result is odd,a third CONT operation is required to complete the local cloning.The entire scheme can clone any Bell state after three CONT gate operations at most.The scheme of this paper is helpful for the measurement and analysis of Bell state.

关 键 词：纠缠 BELL态 量子复制 受控非门 

分 类 号：O469[理学—凝聚态物理]