论文标题
赋予因果命令叠加的操作意义
Giving Operational Meaning to the Superposition of Causal Orders
论文作者
论文摘要
在这项工作中，我们将严格的操作意义赋予因果命令的叠加。这符合最近的努力，以了解如何将量子理论的标准操作观点扩展到包括不确定的因果关系。考虑到与局部量子实验兼容的所有因果相关性，主流视图“过程矩阵”采用了自上而下的方法。相反，我们采用自下而上的方法，研究了不确定性的概念是如何从通用操作理论的特定特征中出现的。具体而言，我们确定了非古典概念（例如“相干”）控制的概念的操作现象学，然后我们将其用于正式化因果秩序的控制（例如“叠加”）的独立概念。为了验证我们的框架，我们展示了如何在我们的框架中捕获文献中的显着示例。
In this work, we give rigorous operational meaning to superposition of causal orders. This fits within a recent effort to understand how the standard operational perspective on quantum theory could be extended to include indefinite causality. The mainstream view, that of "process matrices", takes a top-down approach to the problem, considering all causal correlations that are compatible with local quantum experiments. Conversely, we pursue a bottom-up approach, investigating how the concept of indefiniteness emerges from specific characteristics of generic operational theories. Specifically, we pin down the operational phenomenology of the notion of non-classical (e.g. "coherent") control, which we then use to formalise a theory-independent notion of control (e.g. "superposition") of causal orders. To validate our framework, we show how salient examples from the literature can be captured in our framework.
