论文标题
干扰信息理论游戏
Interference as an information-theoretic game
论文作者
论文摘要
双缝实验在经典和量子理论之间提供了明显的分界，而多缝实验划定量子和高阶干扰理论。在这项工作中，我们表明这些实验与更广泛的过程有关，这些过程可以作为信息处理任务进行表述，从而在经典，量子和高阶理论之间进行了明确的削减。这些任务涉及两个政党和他们之间的交流，目的是赢得某些平等游戏。我们表明，干扰顺序与这些游戏的奇偶校验顺序一对一。此外，我们证明了在经典和量子理论中系统组成下的干扰顺序。后一个结果可以用作量子设置中粒子数量的（半）独立的见证人。最后，我们将游戏配方扩展到广义概率框架中，并证明层析成像位置意味着组成下干涉顺序的增强性。这些结果阐明了干扰顺序的运行含义，对于识别量子理论二阶干扰背后的信息理论原理可能很重要。
The double slit experiment provides a clear demarcation between classical and quantum theory, while multi-slit experiments demarcate quantum and higher-order interference theories. In this work we show that these experiments pertain to a broader class of processes, which can be formulated as information-processing tasks, providing a clear cut between classical, quantum and higher-order theories. The tasks involve two parties and communication between them with the goal of winning certain parity games. We show that the order of interference is in one-to-one correspondence with the parity order of these games. Furthermore, we prove the order of interference to be additive under composition of systems both in classical and quantum theory. The latter result can be used as a (semi)device-independent witness of the number of particles in the quantum setting. Finally, we extend our game formulation within the generalized probabilistic framework and prove that tomographic locality implies the additivity of the order of interference under composition. These results shed light on the operational meaning of the order of interference and can be important for the identification of the information-theoretic principles behind second-order interference in quantum theory.
