标题： 超越熵不确定性量化不相容性 显示英文标题

标题： Quantifying incompatibility beyond entropic uncertainty

摘要： 我们研究了两种操作方法来量化不相容性，这些方法与众所周知的熵不确定性关系（EUR）形式主义有显著不同。 这两种方法得到的不相容性度量即使在一对不相容可观测量在一个子空间上对易时也能给出非零值，而EUR在这些情况下给出零下限。 在这里，我们明确展示了这些度量如何在量化不相容性方面超越EUR：对于任何一组量子可观测量，我们证明这两种不相容性度量都由相应的Tsallis（$T_{2}$）熵的EUR从下方界定。 我们分别在两种操作场景中显式计算了一对比特可观测量的不相容性。 我们还得到了一个通用可观测量集合之间相互不相容性的高效可计算下界。 显示英文摘要

摘要： We study two operational approaches to quantifying incompatibility that depart significantly from the well known entropic uncertainty relation (EUR) formalism. Both approaches result in incompatibility measures that yield non-zero values even when the pair of incompatible observables commute over a subspace, unlike EURs which give a zero lower bound in such cases. Here, we explicitly show how these measures go beyond EURs in quantifying incompatibility: For any set of quantum observables, we show that both incompatibility measures are bounded from below by the corresponding EURs for the Tsallis ($T_{2}$) entropy. We explicitly evaluate the incompatibility of a pair of qubit observables in both operational scenarios. We also obtain an efficiently computable lower bound for the mutually incompatibility of a general set of observables.