论文标题
从热力学充足到信息因果关系
From Thermodynamic Sufficiency to Information Causality
论文作者
论文摘要
称为信息因果关系的原则已被用来推断Tsirelson的界限。在本文中，我们从差异的单调性中得出了信息因果关系，并将其与与热力学系统的测量有关的更基本原理联系起来。从单面系统和多方系统可以配制它，而信息因果关系仅针对多部分系统定义，因此该原理更为基础。热力学充足性是一种强烈的条件，它严重限制了状态空间的形状，以至于我们猜想在非常弱的规律性条件下，可以使用它来推断量子理论的复杂希尔伯特空间形式。由于充分性的概念与所有凸优化问题有关，因此有许多示例不适用。
The principle called information causality has been used to deduce Tsirelson's bound. In this paper we derive information causality from monotonicity of divergence and relate it to more basic principles related to measurements on thermodynamic systems. This principle is more fundamental in the sense that it can be formulated for both unipartite systems and multipartite systems while information causality is only defined for multipartite systems. Thermodynamic sufficiency is a strong condition that put severe restrictions to shape of the state space to an extend that we conjecture that under very weak regularity conditions it can be used to deduce the complex Hilbert space formalism of quantum theory. Since the notion of sufficiency is relevant for all convex optimization problems there are many examples where it does not apply.
