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arxiv: 1905.01700 · v1 · pith:LICWI5WHnew · submitted 2019-05-05 · 🪐 quant-ph

Bell's local causality is a d-separation criterion

classification 🪐 quant-ph
keywords bayesiancausalitylocalbellcorrelationd-separatingeventsnetworks
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This paper aims to motivate Bell's notion of local causality by means of Bayesian networks. In a locally causal theory any superluminal correlation should be screened off by atomic events localized in any so-called \textit{shielder-off region} in the past of one of the correlating events. In a Bayesian network any correlation between non-descendant random variables are screened off by any so-called \textit{d-separating set} of variables. We will argue that the shielder-off regions in the definition of local causality conform in a well defined sense to the d-separating sets in Bayesian networks.

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