论文标题
在自适应的clauser-horne-shimony-holt游戏中，量子理论的相关性自我测试
Towards correlation self-testing of quantum theory in the adaptive Clauser-Horne-Shimony-Holt game
论文作者
论文摘要
对理论的相关性自我测试解决了一个问题，即我们是否可以从理论中从其在特定信息处理任务中的表现中实现的相关性集。应用于量子理论，其目的是确定信息处理任务，该任务仅通过在任何因果结构中意识到与量子理论相同的相关性来实现最佳性能。在[Phys。莱特牧师。 125 060406（2020）]我们为此引入了一项候选任务，即自适应CHSH游戏。在这里，我们分析了以不同的广义概率理论赢得此游戏的最大概率。我们表明，在考虑基本系统具有各种二维状态空间的理论中之前，具有最小或最大张量产物给出的关节状态空间的理论不如量子理论。对于这些，我们没有发现在自适应CHSH游戏中优于量子理论的理论，并证明在各种情况下不可能恢复量子性能。这是迈向一般解决方案的第一步，如果成功，它将带来广泛的后果，尤其是实现了一个可以排除所有理论的实验，其中一组可实现的相关性与量子集不一致。
Correlation self-testing of a theory addresses the question of whether we can identify the set of correlations realisable in a theory from its performance in a particular information processing task. Applied to quantum theory it aims to identify an information processing task whose optimal performance is achieved only by theories realising the same correlations as quantum theory in any causal structure. In [Phys. Rev. Lett. 125 060406 (2020)] we introduced a candidate task for this, the adaptive CHSH game. Here, we analyse the maximum probability of winning this game in different generalised probabilistic theories. We show that theories with a joint state space given by the minimal or the maximal tensor product are inferior to quantum theory, before considering other tensor products in theories whose elementary systems have various two-dimensional state spaces. For these, we find no theories that outperform quantum theory in the adaptive CHSH game and prove that it is impossible to recover the quantum performance in various cases. This is the first step towards a general solution that, if successful, will have wide-ranging consequences, in particular, enabling an experiment that could rule out all theories in which the set of realisable correlations does not coincide with the quantum set.
