AI 中文总结
研究在顺序二分场景中哈迪悖论与非定域性共享的联系，利用投影测量和局部辅助系统，几乎所有纯纠缠态（除最大纠缠态）能实现任意多对观察者间的非定域性共享。
AI 中文摘要
我们在顺序二分场景中建立了哈迪悖论与非定域性共享之间的联系，其中每个子系统依次由一串观察者测量。我们表明，在双输入双输出场景中表现出哈迪悖论的任何关联，仅使用投影测量和一个小的局部辅助系统，就能实现任意多对观察者之间对CHSH不等式的顺序违背。由于几乎所有纯纠缠态（最大纠缠态除外）都允许哈迪关联，我们的协议普遍适用：几乎所有纯纠缠态在局部辅助下，仅用投影测量就能在任意多对观察者之间实现非定域性共享。
英文摘要
We establish a connection between Hardy's paradox and nonlocality sharing in sequential bipartite scenarios, where each subsystem is measured in turn by a chain of observers. We show that any correlations exhibiting a Hardy paradox in the two-input two-output scenario enable sequential violations of the CHSH inequality between arbitrarily many pairs of observers, using only projective measurements and the assistance of a small local ancilla system. Since almost all pure entangled states, with the only exception of the maximally entangled one, admit Hardy correlations, our protocol applies generically: almost all pure entangled states, if assisted by a local ancilla, allow for nonlocality sharing between arbitrarily many observer pairs using only projective measurements.
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