论文标题
情境等级
The rank of contextuality
论文作者
论文摘要
量子上下文是量子通信和计算方案中最知名的资源之一。我们提供了此资源的新量化符，情境性的等级（RC）。我们将RC定义为模拟上下文行为所需的最小数量的非上下文行为。我们表明，RC的对数是一种自然的情境措施，它满足了资源理论方法精神所考虑的几种属性。这些属性包括张量产品下的忠诚，单调性和添加性。我们还举例说明了如何用RC的任意值构建上下文行为，在此量词和基础超图的树木之间表现出自然的联系。我们还讨论了研究的示例性领域，其中新措施似乎是自然量词。
Quantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier of this resource, the rank of contextuality (RC). We define RC as the minimum number of non-contextual behaviors that are needed to simulate a contextual behavior. We show that the logarithm of RC is a natural contextuality measure satisfying several properties considered in the spirit of the resource-theoretic approach. The properties include faithfulness, monotonicity, and additivity under tensor product. We also give examples of how to construct contextual behaviors with an arbitrary value of RC exhibiting a natural connection between this quantifier and the arboricity of an underlying hypergraph. We also discuss exemplary areas of research in which the new measure appears as a natural quantifier.
