期刊
NEW JOURNAL OF PHYSICS
卷 19, 期 -, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/aa8f9f
关键词
quantum causality; causal inequalities; entropic inequalities; quantum foundations
资金
- DAAD
- 'Retour Post-Doctorants' program of the French National Research Agency [ANR-13-PDOC-0026]
- Brazilian ministry MEC
- Brazilian ministry MCTIC
- FWF [M 2107 Meitner-Programm]
- Austrian Science Fund (FWF) [M2107] Funding Source: Austrian Science Fund (FWF)
The existence of a global causal order between events places constraints on the correlations that parties may share. Such 'causal correlations' have been the focus of recent attention, driven by the realization that some extensions of quantum mechanics may violate so-called causal inequalities. In this paper we study causal correlations from an entropic perspective, and we show how to use this framework to derive entropic causal inequalities. We consider two different ways to derive such inequalities. Firstly, we consider a method based on the causal Bayesian networks describing the causal relations between the parties. In contrast to the Bell-nonlocality scenario, where this method has previously been shown to be ineffective, we show that it leads to several interesting entropic causal inequalities. Secondly, we consider an alternative method based on counterfactual variables that has previously been used to derive entropic Bell inequalities. We compare the inequalities obtained via these two methods and discuss their violation by noncausal correlations. As an application of our approach, we derive bounds on the quantity of information-which is more naturally expressed in the entropic framework-that parties can communicate when operating in a definite causal order.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据