关闭时间一致漏洞的Svetlichny不等式  

Svetlichny inequality with closing coincidence-time loophole

作　　者：李丹丹 高飞[2] 严欢 LI Dandan;GAO Fei;YAN Huan(School of Computer Science(National Pilot Software Engineering School),Beijing University of Posts and Telecommunications,Beijing 100876,China;State Key Laboratory of Network and Switching Technology,Beijing 100876,China)

机构地区：[1]北京邮电大学计算机学院(国家示范性软件学院),北京100876 [2]网络与交换技术国家重点实验室,北京100876

出　　处：《陕西师范大学学报（自然科学版）》2024年第2期80-88,共9页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(61802023);中央高校基本科研业务专项资金(2019XD-A01)。

摘　　要：对于任一贝尔不等式,漏洞的存在导致不等式的违背并非都是对局域实在的违背,进而威胁到设备无关量子信息处理任务的安全性。时间一致漏洞(coincidence-time loophole)作为主要漏洞之一,已在两方贝尔不等式的研究中被关闭。Svetlichny不等式作为表征真正多体关联的多方贝尔不等式的典型代表,仍面临时间一致漏洞的威胁。由此,从三方Svetlichny不等式出发,给出关闭时间一致漏洞的Svetlichny不等式的条件;进一步,讨论更一般情况的结果,给出关闭时间一致漏洞的n(n≥3)方Svetlichny不等式的条件。该关闭时间一致漏洞的Svetlichny不等式为设计设备无关的多体量子信息处理协议提供基础工具。In any Bell inequality,existence of loopholes leads to inequality violation may not correspond to a violation of local realism,which threatens the security of quantum information processing task.Coincidence-time loophole,as a major one,is closed in bipartite Bell inequalities.Svetlichny inequality,as a typical multipartite Bell inequality which implies genuine multipartite correlation,suffers from coincidence-time loophole.Therefore,based on tripartite Svetlichny inequality,the conditions of closing coincidence-time loophole is given.Furthermore,the conditions of closing coincidence-time loophole of n(n≥3)partite Svetlichny inequality is given,which shows a more general result.The derived Svetlichny inequality with closing coincidence-time loophole offers a fundamental tool for device-ndependent multipartite quantum information processing protocols.

关 键 词：时间一致漏洞 Svetlichny不等式 时间一致事件 贝尔不等式 

分 类 号：O177.1[理学—数学] TP301.4[理学—基础数学]