论文标题
调查背景资源理论的全球属性
Investigating the Global Properties of a Resource Theory of Contextuality
论文作者
论文摘要
资源理论构成了一个强大的理论框架和一种工具，该工具以抽象的结构捕获最多样化的理论和过程的务实方面。对于物理理论，虽然该框架直接解决了有关执行任务和过程的具体可能性的问题，但资源理论还可以使这些已经建立的新语言上已经建立的理论重新塑造，不仅提供了有关物理现象作为技术发展的宝贵资源的新观点，例如，它们还为这些基础提供了这些基础的洞察力。在这项工作中，我们将研究资源理论的量子上下文性的某些特性，这是量子现象的基本特征，可确保无法将量子测量结果解释为揭示与所做的一组测量集的属性。我们将使用工具和方法提出要研究并研究该理论的某些全球属性的资源理论，尽管社区已经在其他资源理论中开发和研究，但尚未用于表征上下文的资源理论。特别是，我们将使用所谓的成本并产生单调，将参考量子4，280（2020）的结果扩展到一般的上下文情景。
Resource theories constitute a powerful theoretical framework and a tool that captures, in an abstract structure, pragmatic aspects of the most varied theories and processes. For physical theories, while this framework deals directly with questions about the concrete possibilities of carrying out tasks and processes, resource theories also make it possible to recast these already established theories on a new language, providing not only new perspectives on the potential of physical phenomena as valuable resources for technological development, for example, but they also provide insights into the very foundations of these theories. In this work, we will investigate some properties of a resource theory for quantum contextuality, an essential characteristic of quantum phenomena that ensures the impossibility of interpreting the results of quantum measurements as revealing properties that are independent of the set of measurements being made. We will present the resource theory to be studied and investigate certain global properties of this theory using tools and methods that, although already developed and studied by the community in other resource theories, had not yet been used to characterize resource theories of contextuality. In particular, we will use the so called cost and yield monotones, extending the results of reference Quantum 4, 280 (2020) to general contextuality scenarios.
