Abstract

Non-classical probability is a defining feature of quantum mechanics. This paper develops a formalism that exhibits explicitly, the manner in which rules of classical probability break down in the quantum domain. Thereby, a framework is set up which allows for construction of signatures for non-classicality of states in a systematic manner. Using this, conditions for non-locality and entanglement are shown to emerge from a break down of classical probability rules. Bell-CHSH non-locality is derived for any bipartite systems and entanglement inequalities are obtained for coupled two level systems only.

Graphical abstract

中文翻译：

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统一框架中的Bell-CHSH非本地化和纠缠

摘要

非经典概率是量子力学的定义特征。本文提出了一种形式主义，可以明确展现形式主义，即经典概率规则在量子域中的分解方式。由此，建立了一种框架，该框架允许以系统的方式构造用于状态的非经典性的签名。使用这种方法，非局部性和纠缠的条件被证明是由经典概率规则的分解产生的。对于任何二分系统，都推导出Bell-CHSH非局部性，并且仅对于耦合的两层系统，获得了缠结不等式。

图形概要