描述物理理论的条件概率分布的有限de Finetti定理
Finite de Finetti theorem for conditional probability distributions describing physical theories
摘要：
我们在一个一般的框架中工作，其中物理系统的状态由其测量下的行为定义，全局状态受无信号条件的约束。我们发现，在这样的理论中的对称状态的边缘可以近似的独立和相同的条件概率分布的凸组合，推广经典的有限的Finetti定理Diaconis和弗里德曼。我们的结果适用于从量子态获得的关联，即使在没有约束的局部尺寸，使已知的量子de Finetti定理不能使用。
英文摘要：
We work in a general framework where the state of a physical system is defined by its behaviour under measurement and the global state is constrained by no-signalling conditions. We show that the marginals of symmetric states in such theories can be approximated by convex combinations of independent and identical conditional probability distributions, generalizing the classical finite de Finetti theorem of Diaconis and Freedman. Our results apply to correlations obtained from quantum states even when there is no bound on the local dimension, so that known quantum de Finetti theorems cannot be used.
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