论文标题
选择的公理和无信号原则
The Axiom of Choice and the No-Signaling Principle
论文作者
论文摘要
我们表明，选择的公理是集合理论的基本但有争议的假设，它导致修改了对我们最好的物理理论的支柱之一的标准理解，即无信号的原则。众所周知，概率的无信号资源（例如量子非本地性）比确定性的资源强，但我们通过调用选择的公理表明 - 相反：功能性（确定性）否信号资源可能比概率更强。为了证明这一点，我们设计了一个类似钟形的游戏，该游戏在任何概率的无信号资源方面都显示了功能无标记的系统优势。
We show that the axiom of choice, a basic yet controversial postulate of set theory, leads to revise the standard understanding of one of the pillars of our best physical theories, namely the no-signaling principle. While it is well known that probabilistic no-signaling resources (such as quantum non-locality) are stronger than deterministic ones, we show-by invoking the axiom of choice-the opposite: Functional (deterministic) no-signaling resources can be stronger than probabilistic ones. To prove this, we devise a Bell-like game that shows a systematic advantage of functional no-signaling with respect to any probabilistic no-signaling resource.
