发表机构
University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过双泵浦分束器相互作用构造腔光子数均值上的AND条件，证明该响应无需纠缠，并给出有限样本协议，用于区分受控相互作用与非局域博弈资源。
AI 中文摘要
能否实现：当两个二元控制信号中至少一个关闭时，两个腔具有相等的平均光子数，而仅当两个控制信号都开启时，平均光子数不相等？我们给出一个基于双泵浦分束器相互作用的初等构造，其强度与两个控制信号的乘积成正比。一个相位相干的单激发态对于输入00、01和10产生平均占据数(1/2,1/2)，对于输入11产生(1,0)。这精确地在总体平均值层面实现了所需的AND条件。该构造还使通信资源变得明确：相互作用在输入提供之后发生，并随远程输入改变局部统计。对于任何具有有限均值的无信号分布，在均匀输入下对应的精确均值得分至多为3/4。我们给出一个稳健的一致性不等式、一个有限样本计数协议以及一个相干态实现，表明该均值响应不需要纠缠。该构造为区分受控相互作用与非局域博弈资源提供了一个具体示例。
英文摘要
Eve receives two average photon counts, while a monitor watching for external leakage may register nothing. Can she conclude that Alice and Bob's opaque cavity devices did not communicate? We give a constructive counterexample: two independently operated controls activate a shared beam-splitter interaction after the inputs arrive. The parties report genuine sample averages, and a fixed local threshold converts these reports into a CHSH game with expected score $S=13/4$ for four repetitions per block, approaching $4$ for large blocks in the ideal model. This exceeds the usual $2\sqrt2$ quantum benchmark because the devices interact during their response. A separate dispersive-bus model explains how substantial exchange can coexist with a small probability of a click in a specified leakage monitor; an illustrative open-system calculation exhibits both effects without postselection. The output marginals nevertheless reveal signalling. The example separates three questions: whether the reports are honest, whether a monitored port is quiet, and whether the devices are physically isolated.
Comments5 pages, 1 figure
