论文标题

解散因果关系的煎蛋:因果关系理论的框架

Unscrambling the omelette of causation and inference: The framework of causal-inferential theories

论文作者

Schmid, David, Selby, John H., Spekkens, Robert W.

论文摘要

使用过程理论形式主义,我们介绍了因果关系理论的概念:由因果影响理论组成的三倍,推论理论(布尔和贝叶斯品种的推论理论)以及这些相互作用的规范。在本霉菌中重新塑造操作和现实主义理论的概念阐明了对实验的现实主义帐户超出了操作帐户。它还产生了标准不进行定理对操作量子理论的现实主义表示的假设和含义的新颖表征,即,基于贝尔的本地性概念和基于广义非上下文性的含义。此外,我们对广义非上下文性的过程理论表征被证明是由更自然的原则所暗示的,我们称其为leibnizizizizion。最引人注目的是,我们的框架为一项研究计划提供了一个前进的方向,该计划旨在规避这些不做的结果。具体而言,我们认为,如果一个人可以识别现实主义因果关系理论的公理,以使因果关系和推理的概念与他们的常规(经典)解释有所不同,那么人们就有一种定义现实主义的本质上量子概念,从而定义了现实量子理论的现实量化理论,从而拯救了非局部性和非contextial of contextial of Incledtimal of cortality and cothental的精神。

Using a process-theoretic formalism, we introduce the notion of a causal-inferential theory: a triple consisting of a theory of causal influences, a theory of inferences (of both the Boolean and Bayesian varieties), and a specification of how these interact. Recasting the notions of operational and realist theories in this mold clarifies what a realist account of an experiment offers beyond an operational account. It also yields a novel characterization of the assumptions and implications of standard no-go theorems for realist representations of operational quantum theory, namely, those based on Bell's notion of locality and those based on generalized noncontextuality. Moreover, our process-theoretic characterization of generalised noncontextuality is shown to be implied by an even more natural principle which we term Leibnizianity. Most strikingly, our framework offers a way forward in a research program that seeks to circumvent these no-go results. Specifically, we argue that if one can identify axioms for a realist causal-inferential theory such that the notions of causation and inference can differ from their conventional (classical) interpretations, then one has the means of defining an intrinsically quantum notion of realism, and thereby a realist representation of operational quantum theory that salvages the spirit of locality and of noncontextuality.

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