Hameedi Alley, Tavakoli Armin, Marques Breno, Bourennane Mohamed
Department of Physics, Stockholm University, S-10691 Stockholm, Sweden.
Groupe de Physique Appliquée, Université de Genève, CH-1211 Genève, Switzerland.
Phys Rev Lett. 2017 Dec 1;119(22):220402. doi: 10.1103/PhysRevLett.119.220402. Epub 2017 Nov 29.
A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A theory exhibits preparation contextuality whenever its predictions cannot be explained by a preparation noncontextual model. Here, we show that communication games performed in operational theories reveal the preparation contextuality of that theory. For statistics obtained in a particular family of communication games, we show a direct correspondence with correlations in spacelike separated events obeying the no-signaling principle. Using this, we prove that all mixed quantum states of any finite dimension are preparation contextual. We report on an experimental realization of a communication game involving three-level quantum systems from which we observe a strong violation of the constraints of preparation noncontextuality.
一个通信博弈由分布式参与方组成，他们试图通过受限通信共同完成一项任务。此类博弈是研究物理理论局限性的有用工具。每当一个理论的预测无法用制备非上下文模型来解释时，该理论就表现出制备上下文性。在这里，我们表明在操作理论中进行的通信博弈揭示了该理论的制备上下文性。对于在特定通信博弈族中获得的统计数据，我们展示了与遵循无信号原则的类空分离事件中的相关性的直接对应关系。利用这一点，我们证明了任何有限维的所有混合量子态都是制备上下文的。我们报告了一个涉及三能级量子系统的通信博弈的实验实现，从中我们观察到对制备非上下文性约束的强烈违背。
