事件的量子理论中因果性和决定论的特征
Signatures of causality and determinism in a quantum theory of events
摘要:
通过将事件表示为与系统相互作用的检测器-定时器耦合的联合状态,我们恢复了用于描述空间分离系统的熟悉的张量积结构,在类时事件的背景下。此外,通过这种方法,我们将叠加原理扩展到事件发生的时刻。然后,我们概述了量子签名的因果关系,表现通过相干的检测器状态和关联函数的时间运营商。最后,我们扩展的范围量子信息理论措施的状态歧视和信息内容,通常用于表征空间分离的系统,在时空中的事件。对于因果连接的事件,我们说明了事件之间的确定性关系(类似于空间纠缠的物理系统),其中观察先前的事件(一个子系统),使我们能够描绘出后来的事件(另一个子系统)。
英文摘要:
By representing an event as the joint state of a detector-timer couple that interact with a system, we recover the familiar tensor product structure, used to describe spatially separated systems, in the context of timelike events. Furthermore, with this approach, we extend the superposition principle to the moment of occurrence of events. We then outline quantum signatures of causality that manifest through coherence in the detector state and correlation functions of time operators. Finally, we expand the scope of quantum information theoretic measures of state discrimination and information content, commonly used to characterize spatially separated systems, to events in spacetime. For causally connected events, we illustrate a deterministic relationship between events (akin to spatially entangled physical systems) where observing a previous event (one subsystem), enables us to delineate a later event (the other subsystem).
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